856457419944 has 512 divisors, whose sum is σ = 2769500160000. Its totient is φ = 219856530432.

The previous prime is 856457419943. The next prime is 856457419957. The reversal of 856457419944 is 449914754658.

856457419944 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (856457419943) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1702698397 + ... + 1702698899.

It is an arithmetic number, because the mean of its divisors is an integer number (5409180000).

Almost surely, 2^856457419944 is an apocalyptic number.

856457419944 is a gapful number since it is divisible by the number (84) 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 856457419944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384750080000).

856457419944 is an abundant number, since it is smaller than the sum of its proper divisors (1913042740056).

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

856457419944 is a wasteful number, since it uses less digits than its factorization.

856457419944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 555 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 66.

The spelling of 856457419944 in words is "eight hundred fifty-six billion, four hundred fifty-seven million, four hundred nineteen thousand, nine hundred forty-four".