There isn't a way to export them. You just need to go to Tools>Options, and see what the setting for the account are.
You need the mail (or incoming) server, sometimes pop.somecompany.com or mail.somecompany.com
You also need the smtp (or outgoing) server name.
For each, you need to determine what the authentication requirements are: port, ssl, type authentication (password, kerberos, etc).
I don't have outlook available here to figure out what each is called. I will try to remember to check tomorrow and also look for a way to export the settings into a text file so that you can print them out.