856414137920 has 112 divisors (see below), whose sum is σ = 2233003204800. Its totient is φ = 310265272320.

The previous prime is 856414137911. The next prime is 856414137973. The reversal of 856414137920 is 29731414658.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 494651 + ... + 1399109.

It is a 1-persistent number, because it is pandigital, but 2⋅856414137920 = 1712828275840 is not.

Almost surely, 2^856414137920 is an apocalyptic number.

856414137920 is a gapful number since it is divisible by the number (80) 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 856414137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116501602400).

856414137920 is an abundant number, since it is smaller than the sum of its proper divisors (1376589066880).

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

856414137920 is a wasteful number, since it uses less digits than its factorization.

856414137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904756 (or 904746 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 856414137920 in words is "eight hundred fifty-six billion, four hundred fourteen million, one hundred thirty-seven thousand, nine hundred twenty".