10415520644040 has 48 divisors (see below), whose sum is σ = 33850442094300. Its totient is φ = 2777472171648.

The previous prime is 10415520644003. The next prime is 10415520644041. The reversal of 10415520644040 is 4044602551401.

10415520644040 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 5 + 5 + 2 + 0 + 644 + 0 + 4 + 0 = 666.

10415520644040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10246900362084 + 168620281956 = 3201078^2 + 410634^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10415520643986 and 10415520644004.

It is not an unprimeable number, because it can be changed into a prime (10415520644041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14466000535 + ... + 14466001254.

Almost surely, 2^{10415520644040} is an apocalyptic number.

10415520644040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10415520644040 is an abundant number, since it is smaller than the sum of its proper divisors (23434921450260).

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

10415520644040 is a wasteful number, since it uses less digits than its factorization.

10415520644040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28932001806 (or 28932001799 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 10415520644040 in words is "ten trillion, four hundred fifteen billion, five hundred twenty million, six hundred forty-four thousand, forty".