Avantages
Lots of opportunities for development and growth in your career. You have a chance to move up the ladder or take lateral moves. You can choose to have a job with lots of depth of knowledge (subject matter expert) or you can take a path to broader skill set with experts on your team. If you want to work abroad or move around within the US, that is all possible as well. Pretty much there is a fit for just about anyone. Salary and benefits are top notch. If you want to go back to school, that's a benefit. If you need a flexible schedule to work from home, it's possible. Plus there are perks like discounts with appliance and car manufacturers.
Inconvénients
If you want to move up, you need to be mobile. This is true for most global companies, but especially true of BASF. It is a very large company so with that comes bureaucracy. Work loads can be difficult to maintain a healthy work/life balance.