Welcome to the site
Firstly, if you're in Manchester it won't be a 4010, but it doesn't really matter.
Somewhere in the settings will be an option to "disable enhanced TV services". This will stop the red button from doing anything, in case that was what was causing the problem. The box will still respond if you press Interactive, TV Guide or On Demand on your remote -- there's no way to stop this I'm afraid.
(There is a way to switch off the IR receiver totally, but since this will stop your TiVo from changing channels, I presume it's not what you want!)