856350315940 has 432 divisors, whose sum is σ = 2302555175424. Its totient is φ = 266411980800.

The previous prime is 856350315929. The next prime is 856350315973. The reversal of 856350315940 is 49513053658.

It is a happy number.

856350315940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×856350315940² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1239290995 + ... + 1239291685.

It is an arithmetic number, because the mean of its divisors is an integer number (5329988832).

Almost surely, 2^856350315940 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 856350315940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151277587712).

856350315940 is an abundant number, since it is smaller than the sum of its proper divisors (1446204859484).

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

856350315940 is a wasteful number, since it uses less digits than its factorization.

856350315940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 49.

The spelling of 856350315940 in words is "eight hundred fifty-six billion, three hundred fifty million, three hundred fifteen thousand, nine hundred forty".