10040167920 has 80 divisors (see below), whose sum is σ = 32477778432. Its totient is φ = 2560968960.

The previous prime is 10040167913. The next prime is 10040167961. The reversal of 10040167920 is 2976104001.

It is a happy number.

10040167920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 903916 + ... + 914955.

Almost surely, 2^10040167920 is an apocalyptic number.

10040167920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10040167920 is an abundant number, since it is smaller than the sum of its proper divisors (22437610512).

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

10040167920 is a wasteful number, since it uses less digits than its factorization.

10040167920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818910 (or 1818904 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 10040167920 in words is "ten billion, forty million, one hundred sixty-seven thousand, nine hundred twenty".