10014400756 has 96 divisors (see below), whose sum is σ = 19654992000. Its totient is φ = 4445134848.

The previous prime is 10014400741. The next prime is 10014400801. The reversal of 10014400756 is 65700441001.

10014400756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10779300 + ... + 10780228.

It is an arithmetic number, because the mean of its divisors is an integer number (204739500).

Almost surely, 2^10014400756 is an apocalyptic number.

It is an amenable number.

10014400756 is a deficient number, since it is larger than the sum of its proper divisors (9640591244).

10014400756 is a wasteful number, since it uses less digits than its factorization.

10014400756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

Adding to 10014400756 its reverse (65700441001), we get a palindrome (75714841757).

The spelling of 10014400756 in words is "ten billion, fourteen million, four hundred thousand, seven hundred fifty-six".