413256391296 has 768 divisors, whose sum is σ = 1439927798400. Its totient is φ = 104044953600.

The previous prime is 413256391283. The next prime is 413256391307. The reversal of 413256391296 is 692193652314.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 589523746 + ... + 589524446.

Almost surely, 2^413256391296 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 413256391296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719963899200).

413256391296 is an abundant number, since it is smaller than the sum of its proper divisors (1026671407104).

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

413256391296 is a wasteful number, since it uses less digits than its factorization.

413256391296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 846 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 51.

The spelling of 413256391296 in words is "four hundred thirteen billion, two hundred fifty-six million, three hundred ninety-one thousand, two hundred ninety-six".