Range
Hello A380,
Cannot give you a max range figure at MTOM, because that would depend "heavily" upon the load that you carry.
Say, MTOM is approximately 184 tons, max fuel load approx 72 tons, max ZFM approx 132 tons.
So, if absolute max range is your desire, load max fuel and limit yourself on payload. On the other hand, if you carry max payload, you cannot upload full fuel anymore, so you will restrict your range.
Possible ranges include western or northern Europe to Japan, or to Thailand, or to western Mexico (PVR) with a sensible load of passengers (approx 270).