413879175864 has 384 divisors, whose sum is σ = 1465856870400. Its totient is φ = 102367825920.

The previous prime is 413879175833. The next prime is 413879175883. The reversal of 413879175864 is 468571978314.

413879175864 is a `hidden beast` number, since 4 + 1 + 38 + 7 + 9 + 17 + 586 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9619552 + ... + 9662480.

It is an arithmetic number, because the mean of its divisors is an integer number (3817335600).

Almost surely, 2^413879175864 is an apocalyptic number.

413879175864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413879175864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732928435200).

413879175864 is an abundant number, since it is smaller than the sum of its proper divisors (1051977694536).

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

413879175864 is a wasteful number, since it uses less digits than its factorization.

413879175864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43043 (or 43036 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 413879175864 in words is "four hundred thirteen billion, eight hundred seventy-nine million, one hundred seventy-five thousand, eight hundred sixty-four".