392426681472 has 256 divisors, whose sum is σ = 1325387347200. Its totient is φ = 111975727104.

The previous prime is 392426681459. The next prime is 392426681501. The reversal of 392426681472 is 274186624293.

It is a happy number.

392426681472 is a `hidden beast` number, since 3 + 92 + 4 + 2 + 6 + 6 + 81 + 472 = 666.

It is a super-2 number, since 2×392426681472² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19270848 + ... + 19291200.

It is an arithmetic number, because the mean of its divisors is an integer number (5177294325).

Almost surely, 2^392426681472 is an apocalyptic number.

392426681472 is a gapful number since it is divisible by the number (32) 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 392426681472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662693673600).

392426681472 is an abundant number, since it is smaller than the sum of its proper divisors (932960665728).

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

392426681472 is a wasteful number, since it uses less digits than its factorization.

392426681472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21180 (or 21162 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 392426681472 in words is "three hundred ninety-two billion, four hundred twenty-six million, six hundred eighty-one thousand, four hundred seventy-two".