It means milli-Amp-hour - milli being 1/1000 of an amp. It is a measure of "capacity" of the battery, the higher the number, the higher the capacity. These batteries have a rating of 4000 mAh or 4Ah (4000 divided 1000) meaning they will provide 4 amps of power at 1.2 volts for one hour. In other words, the higher the rating, the longer the battery will provide power under load (and that load is more than likely less than the rated load). I hope this helps more than confuses! ;-)
milli-Ampere-hour. Multiply the mAh rating by the voltage of the battery for an indication of the maximum energy the battery can contain. For example, 1.2 V x 4000 mAh = 4800 mWh (mill-Watt-hour) = 4.8 Wh. So, a single, fully charged battery can power a 4.8 Watt load for 1 hour.
mAh stands for Milliamps Hour. Milliamps Hour is 1/1000th of a Amp Hour, so a 1000mAh = 1.0Ah. Milliamps Hour (mAh) is important because it's the easiest way to distinguish the strength or capacity of a battery. The higher the mAh, the longer the battery will last. Batteries with different mAh ratings are interchangeable. If your battery is rechargeable then the mAh rating is how long the battery will last per charge.
Spec sheets use the term "C10 rate", so you can pull 0.4Amps of current from these for ten hours before a sudden drop-off in voltage (place it back into the charger box). Lighter loads, say only 0.2 Amps you get 20-22 hours from a full charge.