413024676120224 has 96 divisors (see below), whose sum is σ = 930022543296000. Its totient is φ = 176874033162240.

The previous prime is 413024676120223. The next prime is 413024676120253. The reversal of 413024676120224 is 422021676420314.

It is not an unprimeable number, because it can be changed into a prime (413024676120223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2504448329 + ... + 2504613239.

It is an arithmetic number, because the mean of its divisors is an integer number (9687734826000).

Almost surely, 2^{413024676120224} is an apocalyptic number.

It is an amenable number.

413024676120224 is an abundant number, since it is smaller than the sum of its proper divisors (516997867175776).

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

413024676120224 is a wasteful number, since it uses less digits than its factorization.

413024676120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173486 (or 173478 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 44.

The spelling of 413024676120224 in words is "four hundred thirteen trillion, twenty-four billion, six hundred seventy-six million, one hundred twenty thousand, two hundred twenty-four".