413937636138 has 96 divisors (see below), whose sum is σ = 1023765502032. Its totient is φ = 119744870400.

The previous prime is 413937636089. The next prime is 413937636181. The reversal of 413937636138 is 831636739314.

It is a happy number.

413937636138 is a `hidden beast` number, since 4 + 13 + 9 + 3 + 7 + 6 + 3 + 613 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 317659613769 + 96278022369 = 563613^2 + 310287^2 .

It is a super-2 number, since 2×413937636138² (a number of 24 digits) contains 22 as substring.

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, 3688008 + ... + 3798588.

Almost surely, 2^413937636138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413937636138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511882751016).

413937636138 is an abundant number, since it is smaller than the sum of its proper divisors (609827865894).

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

413937636138 is a wasteful number, since it uses less digits than its factorization.

413937636138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111560 (or 111557 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 413937636138 in words is "four hundred thirteen billion, nine hundred thirty-seven million, six hundred thirty-six thousand, one hundred thirty-eight".