10400126688 has 72 divisors (see below), whose sum is σ = 33800418288. Its totient is φ = 2971464192.

The previous prime is 10400126663. The next prime is 10400126699. The reversal of 10400126688 is 88662100401.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2577381 + ... + 2581412.

It is an arithmetic number, because the mean of its divisors is an integer number (469450254).

Almost surely, 2^10400126688 is an apocalyptic number.

10400126688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10400126688 is an abundant number, since it is smaller than the sum of its proper divisors (23400291600).

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

10400126688 is a wasteful number, since it uses less digits than its factorization.

10400126688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5158816 (or 5158805 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10400126688 in words is "ten billion, four hundred million, one hundred twenty-six thousand, six hundred eighty-eight".