10644489085440 has 1280 divisors, whose sum is σ = 41329571880960. Its totient is φ = 2284750110720.

The previous prime is 10644489085409. The next prime is 10644489085499. The reversal of 10644489085440 is 4458098444601.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×10644489085440² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21679203595 + ... + 21679204085.

It is an arithmetic number, because the mean of its divisors is an integer number (32288728032).

Almost surely, 2^{10644489085440} is an apocalyptic number.

10644489085440 is a gapful number since it is divisible by the number (10) 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 10644489085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20664785940480).

10644489085440 is an abundant number, since it is smaller than the sum of its proper divisors (30685082795520).

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

10644489085440 is a wasteful number, since it uses less digits than its factorization.

10644489085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 57.

The spelling of 10644489085440 in words is "ten trillion, six hundred forty-four billion, four hundred eighty-nine million, eighty-five thousand, four hundred forty".