413057351256 has 128 divisors (see below), whose sum is σ = 1186285478400. Its totient is φ = 118628167680.

The previous prime is 413057351249. The next prime is 413057351269. The reversal of 413057351256 is 652153750314.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 349800 + ... + 973896.

It is an arithmetic number, because the mean of its divisors is an integer number (9267855300).

Almost surely, 2^413057351256 is an apocalyptic number.

413057351256 is a gapful number since it is divisible by the number (46) 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 413057351256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593142739200).

413057351256 is an abundant number, since it is smaller than the sum of its proper divisors (773228127144).

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

413057351256 is a wasteful number, since it uses less digits than its factorization.

413057351256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624249 (or 624245 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 413057351256 in words is "four hundred thirteen billion, fifty-seven million, three hundred fifty-one thousand, two hundred fifty-six".