392121430416 has 45 divisors (see below), whose sum is σ = 1097416422219. Its totient is φ = 130704638688.

The previous prime is 392121430411. The next prime is 392121430427. The reversal of 392121430416 is 614034121293.

The square root of 392121430416 is 626196.

It is a perfect power (a square), and thus also a powerful number.

392121430416 is a `hidden beast` number, since 3 + 9 + 21 + 214 + 3 + 0 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (392121430411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7488261 + ... + 7540443.

Almost surely, 2^392121430416 is an apocalyptic number.

392121430416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

392121430416 is the 626196-th square number.

It is an amenable number.

392121430416 is an abundant number, since it is smaller than the sum of its proper divisors (705294991803).

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

392121430416 is an frugal number, since it uses more digits than its factorization.

392121430416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104380 (or 52188 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 392121430416 by its sum of digits (36), we get a square (14116371494976 = 3757176²).

392121430416 divided by its sum of digits (36) gives a square (10892261956 = 104366²).

The spelling of 392121430416 in words is "three hundred ninety-two billion, one hundred twenty-one million, four hundred thirty thousand, four hundred sixteen".