The landing fee for a chapter 4 (noise profile) aircraft (A330-A380 etc) ranges from £781.79 to £1563.58 during peak times and between £1954.48 to £3908.95 during super peak/night.
There is also an emission charge of £7.76 per kg of emission plus an air navigation charge of £78.58 plus £1.06 per metric tonne.
For a widebody aircraft parking is free for 90 minutes and then it is charged at £54.45 per 15 minutes.
Finally there is a departure charge of £28.30 per passenger for European destinations or £39.75 per passenger rest of world.
Source:
Heathrow: Conditions of Use