These are numbers for internet connections. As a result of changes introduced by BT from 1 April the Demon Surftime package has also changed. See their website:
http://www.demon.net/surftime/There are no geographic equivalents to these numbers. The 0844 04... number is BT tarrif g5 costing 1p, 0.6p, 0.5p at daytime, evenings and weekends respectively.