413107075776 has 112 divisors (see below), whose sum is σ = 1120412418048. Its totient is φ = 134254848000.

The previous prime is 413107075763. The next prime is 413107075819. The reversal of 413107075776 is 677570701314.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12444801 + ... + 12477951.

It is an arithmetic number, because the mean of its divisors is an integer number (10003682304).

Almost surely, 2^413107075776 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 413107075776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560206209024).

413107075776 is an abundant number, since it is smaller than the sum of its proper divisors (707305342272).

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

413107075776 is a wasteful number, since it uses less digits than its factorization.

413107075776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34790 (or 34780 counting only the distinct ones).

The product of its (nonzero) digits is 864360, while the sum is 48.

The spelling of 413107075776 in words is "four hundred thirteen billion, one hundred seven million, seventy-five thousand, seven hundred seventy-six".