10400634914352 has 40 divisors (see below), whose sum is σ = 26868448553280. Its totient is φ = 3466860022080.

The previous prime is 10400634914339. The next prime is 10400634914357. The reversal of 10400634914352 is 25341943600401.

It is not an unprimeable number, because it can be changed into a prime (10400634914357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11071527 + ... + 11974137.

It is an arithmetic number, because the mean of its divisors is an integer number (671711213832).

Almost surely, 2^{10400634914352} is an apocalyptic number.

10400634914352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10400634914352 is an abundant number, since it is smaller than the sum of its proper divisors (16467813638928).

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

10400634914352 is a wasteful number, since it uses less digits than its factorization.

10400634914352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142681 (or 1142675 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 10400634914352 in words is "ten trillion, four hundred billion, six hundred thirty-four million, nine hundred fourteen thousand, three hundred fifty-two".