10456662412320 has 576 divisors, whose sum is σ = 38020011724800. Its totient is φ = 2406068305920.

The previous prime is 10456662412297. The next prime is 10456662412331. The reversal of 10456662412320 is 2321426665401.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81642091 + ... + 81770069.

It is an arithmetic number, because the mean of its divisors is an integer number (66006964800).

Almost surely, 2^{10456662412320} is an apocalyptic number.

10456662412320 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 10456662412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19010005862400).

10456662412320 is an abundant number, since it is smaller than the sum of its proper divisors (27563349312480).

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

10456662412320 is a wasteful number, since it uses less digits than its factorization.

10456662412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128081 (or 128056 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 10456662412320 in words is "ten trillion, four hundred fifty-six billion, six hundred sixty-two million, four hundred twelve thousand, three hundred twenty".