The stability of the company also means it's not growing. That leaves not much in the way of new or exciting development or projects. It's steadily been losing the most dynamic and intelligent of the staff over the last few years, who are mostly going on to places with opportunity for growth and advancement.
There's no interest in helping you with career development, that's entirely on you. There is no formal performance review process, no periodic pay actions. Titles don't really exist, or if they do, they're ignored. So, even a token promotion that's only about title (matters for your resume, you know) won't happen. Your boss probably doesn't know what you earn and certainly has no control over it, that's all up to the execs - and how much will they understand of what you do day to day? This leads to things being pretty stagnant and political, with the best way to advance being to gain the notice of execs and take credit for things.
They'll treat it like a start-up, with stock options and excitement about upcoming business prospects. However, with no growth, the company will never go public, and the execs enjoy their control too much to ever sell. So don't get too excited about the value of your stock options - I haven't spoken with any former employee who has exercised their options. For as long as I can remember, that next big deal was always just around the corner - and always just as elusive.
They love to talk. Talk, talk talk. Endless all-hands meetings listening to the same optimistic pep talks, without addressing head-on any of the real issues.