10456444465400 has 96 divisors (see below), whose sum is σ = 24365662997760. Its totient is φ = 4173222704640.

The previous prime is 10456444465351. The next prime is 10456444465409. The reversal of 10456444465400 is 456444465401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10456444465409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189734249 + ... + 189789351.

It is an arithmetic number, because the mean of its divisors is an integer number (253808989560).

Almost surely, 2^{10456444465400} is an apocalyptic number.

10456444465400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10456444465400 is an abundant number, since it is smaller than the sum of its proper divisors (13909218532360).

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

10456444465400 is a wasteful number, since it uses less digits than its factorization.

10456444465400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57225 (or 57216 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 47.

Subtracting from 10456444465400 its reverse (456444465401), we obtain a palindrome (9999999999999).

The spelling of 10456444465400 in words is "ten trillion, four hundred fifty-six billion, four hundred forty-four million, four hundred sixty-five thousand, four hundred".