Males as kittens, do tend to play harder and are much stronger than the females. It is highly recommended not to use your hands as a toy when this breed are kittens. If they become accustomed to your hands as a toy, once they become large, (which only takes a few months) they do not realize how strong they are and they can actually bite through a finger without really trying to hurt you. It is always better to use a cat toy of some type to play with the kitten/cat, rather than using your hands. With all that said, let me stress that the Maine Coon Breed is a very "laid back, non aggressive breed" that blends into the family and is great with children and other pets, especially large dogs.
I think these cats must think they are also dogs and are natured in many ways just like a dog. They are highly intelligent and can be trained to do most any thing a dog can be trained to do. Most of them will fetch naturally without training. Many people teach their cats to walk on a leash, however, I recommend keeping them inside the house with the exception of a screened in porch. Our goal is to produce a Maine Coon Cat, regardless of color, that looks like it just stepped out of the forest. Which is ironic. Despite the wild appearance. This breed is exceptionally friendly and demand attention.
The best way to describe a Maine Coon Cat temperament is that, they are a “golden retriever temperament” wrapped in a cat’s body. This breed is very interactive with other pets and its owners. And they stay very interactive for a large number of years.
They do go through an "independent stage" usually the first year of growth (much like a teenager). They are just too busy to be loving. But, as they mature they calm down. This breed is the closest thing to a companion that you can find in the domestic cat world.
There is very little difference in temperament between males and females. Females when grown may be a bit more "busy" than males and males may be a bit more "laid back" than females when grown. But both are very interactive with people. Each cat has a unique personality and some are more "lap cats" than others, but gender has no bearing on that.
They naturally stay in the same room with you and can sense if you are not feeling well and stay especially close by you during that time. Each cat has it own individual personality and some are more lap cats than others, but all are very interactive with their owners.