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An 'ampere-hour' (abbreviated as 'Ah' or 'A-h') is a unit of electric charge. One ampere-hour is equal to 3600 coulombs (ampere-seconds), and is the amount of electric charge transferred by a steady current of one ampere for one hour.
The ampere-hour is a unit frequently used in measurements associated with electrochemical proceses such as electroplating and electrical batteries. Although it is not a direct measure of the energy in a battery (like the joule (J) or watt-hour (Wh)), it is a common rating of how long a battery will last (or in the case of a rechargeable battery, how long it will last when fully charged).
The commonly seen 'milliampere-hour' ('mAh') is equal to 3.6 coulombs.

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★ Ampere