10032037440 has 112 divisors (see below), whose sum is σ = 32628718080. Its totient is φ = 2609950720.

The previous prime is 10032037417. The next prime is 10032037511. The reversal of 10032037440 is 4473023001.

10032037440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10032037440.

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, 88080 + ... + 166799.

It is an arithmetic number, because the mean of its divisors is an integer number (291327840).

Almost surely, 2^10032037440 is an apocalyptic number.

10032037440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032037440 is an abundant number, since it is smaller than the sum of its proper divisors (22596680640).

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

10032037440 is a wasteful number, since it uses less digits than its factorization.

10032037440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254940 (or 254930 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The spelling of 10032037440 in words is "ten billion, thirty-two million, thirty-seven thousand, four hundred forty".