392040768000 has 640 divisors, whose sum is σ = 1520299123200. Its totient is φ = 89594265600.

The previous prime is 392040767953. The next prime is 392040768137. The reversal of 392040768000 is 867040293.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 392040768000.

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 63 ways as a sum of consecutive naturals, for example, 65853024 + ... + 65858976.

It is an arithmetic number, because the mean of its divisors is an integer number (2375467380).

Almost surely, 2^392040768000 is an apocalyptic number.

392040768000 is a gapful number since it is divisible by the number (30) 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 392040768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760149561600).

392040768000 is an abundant number, since it is smaller than the sum of its proper divisors (1128258355200).

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

392040768000 is an frugal number, since it uses more digits than its factorization.

392040768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 392040768000 in words is "three hundred ninety-two billion, forty million, seven hundred sixty-eight thousand".