Do a search on "render farm", and you will find the answer. You will find that Max will do quite a fine job rendering off your animation as a frame sequence. What the software does (after you set up your render farm, put Max and necessary plugins on each of the machines, and tell your "master" copy of Max what machines are on the network) is to render off a different single frame on each of the machines, keep track of the frames that are rendered, and continue until the animation is rendered. It's then a simple matter to take the frames into After Effects, or just about any NLE as a frame sequence, and turn it into whatever video format you need.
The beauty of a render farm is that it can be accomplished with a bunch of relatively slow computers, and get a whole lot done at the same time. Here's a good rundown on how it's done: