10400723712 has 108 divisors (see below), whose sum is σ = 30034863040. Its totient is φ = 3461474304.

The previous prime is 10400723701. The next prime is 10400723737. The reversal of 10400723712 is 21732700401.

It is a happy number.

10400723712 is a `hidden beast` number, since 10 + 400 + 7 + 237 + 12 = 666.

10400723712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1630353 + ... + 1636719.

Almost surely, 2^10400723712 is an apocalyptic number.

10400723712 is a gapful number since it is divisible by the number (12) 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 10400723712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15017431520).

10400723712 is an abundant number, since it is smaller than the sum of its proper divisors (19634139328).

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

10400723712 is an equidigital number, since it uses as much as digits as its factorization.

10400723712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7098 (or 7081 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 10400723712 in words is "ten billion, four hundred million, seven hundred twenty-three thousand, seven hundred twelve".