You can actually download Maya for free from their site, Basically it's not licensed for commercial production, and watermarks images it renders to make them unusable. But for modeling, animation, texturing, it's unbelievable. I think their goal in releasing a free version was to increase their installed base of users. They've also lowered the price of their commercial software quite a bit. You can get Maya for Games which contains features that are nice for making polygon models and animations for games, but does not contain features that you would need to make animated movie effects.
All the graphics on my web page were done in Maya, if you want to see some of the basic bottom end of what it can do.