413538418017 has 12 divisors (see below), whose sum is σ = 597345722064. Its totient is φ = 275686531800.

The previous prime is 413538417959. The next prime is 413538418061. The reversal of 413538418017 is 710814835314.

413538418017 is a `hidden beast` number, since 41 + 353 + 84 + 180 + 1 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-413538418017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413538418067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2278 + ... + 909440.

It is an arithmetic number, because the mean of its divisors is an integer number (49778810172).

Almost surely, 2^413538418017 is an apocalyptic number.

It is an amenable number.

413538418017 is a deficient number, since it is larger than the sum of its proper divisors (183807304047).

413538418017 is a wasteful number, since it uses less digits than its factorization.

413538418017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957820 (or 957817 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 413538418017 in words is "four hundred thirteen billion, five hundred thirty-eight million, four hundred eighteen thousand, seventeen".