For example, is the name's domain name available? Can the domain name be misrepresented? eg. expertsexchange.com (Experts Exchange vs Expert Sex Change) How about social media names (eg. twitter.com/<name you want>)?
I think nowadays, considerations on names really should centre on availability of the desired name across domain names, social media pages, and avoiding existing trademarks.
Incidentally I blogged about this recently: http://simononstartups.com/blog/2015/05/31/9-lessons-for-fin...
PS. People criticizing Twitter pointed out at the beginning how "twit" or "tw*t" were bad names to associate with the product too.