21499841126400 has 2688 divisors, whose sum is σ = 94760488273920. Its totient is φ = 4173688995840.

The previous prime is 21499841126369. The next prime is 21499841126411. The reversal of 21499841126400 is 462114899412.

It is a tau number, because it is divible by the number of its divisors (2688).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39305010927 + ... + 39305011473.

It is an arithmetic number, because the mean of its divisors is an integer number (35253157840).

Almost surely, 2^{21499841126400} is an apocalyptic number.

21499841126400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21499841126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47380244136960).

21499841126400 is an abundant number, since it is smaller than the sum of its proper divisors (73260647147520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21499841126400 is a wasteful number, since it uses less digits than its factorization.

21499841126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 21499841126400 in words is "twenty-one trillion, four hundred ninety-nine billion, eight hundred forty-one million, one hundred twenty-six thousand, four hundred".