413138658024 has 192 divisors, whose sum is σ = 1225635840000. Its totient is φ = 125269877376.

The previous prime is 413138658001. The next prime is 413138658041. The reversal of 413138658024 is 420856831314.

413138658024 is a `hidden beast` number, since 4 + 1 + 31 + 38 + 6 + 580 + 2 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3411097 + ... + 3530135.

It is an arithmetic number, because the mean of its divisors is an integer number (6383520000).

Almost surely, 2^413138658024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413138658024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612817920000).

413138658024 is an abundant number, since it is smaller than the sum of its proper divisors (812497181976).

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

413138658024 is a wasteful number, since it uses less digits than its factorization.

413138658024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119172 (or 119165 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 413138658024 in words is "four hundred thirteen billion, one hundred thirty-eight million, six hundred fifty-eight thousand, twenty-four".