10010515440 has 80 divisors (see below), whose sum is σ = 31044763008. Its totient is φ = 2668424448.

The previous prime is 10010515391. The next prime is 10010515441. The reversal of 10010515440 is 4451501001.

10010515440 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010515441) by changing a digit.

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, 752527 + ... + 765713.

Almost surely, 2^10010515440 is an apocalyptic number.

10010515440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010515440 is an abundant number, since it is smaller than the sum of its proper divisors (21034247568).

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

10010515440 is a wasteful number, since it uses less digits than its factorization.

10010515440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16366 (or 16360 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 10010515440 in words is "ten billion, ten million, five hundred fifteen thousand, four hundred forty".