The pig never gets full. Ever. It can just keep eating and eating and eating, and all the food, people, buildings, etc. will just disappear. Well, for 24 hours anyway... actually now that I think of it that's probably why it never gets full.
Maybe if we feed it an entire railyard full of trains like the one from this movie it would be enough to satiate it:
Hey, I have an idea! Since it's so huge, maybe if we get everyone around to go for a massive group piggyback ride, we can't get eaten since we'd be riding on the pig! And the best part is that you can get to any place on the planet quickly since the pig takes enormous steps... of course the problem here is that once you dismount, you're vulnerable to getting eaten again...
edit: Uh, guys, we have a problem:
The pig sprouted fucking wings