4392394656000 has 576 divisors, whose sum is σ = 15867611375616. Its totient is φ = 1070469120000.

The previous prime is 4392394655977. The next prime is 4392394656059. The reversal of 4392394656000 is 6564932934.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126030577 + ... + 126065423.

It is an arithmetic number, because the mean of its divisors is an integer number (27547936416).

Almost surely, 2^{4392394656000} is an apocalyptic number.

4392394656000 is a gapful number since it is divisible by the number (40) 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 4392394656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7933805687808).

4392394656000 is an abundant number, since it is smaller than the sum of its proper divisors (11475216719616).

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

4392394656000 is a wasteful number, since it uses less digits than its factorization.

4392394656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34995 (or 34971 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 51.

The spelling of 4392394656000 in words is "four trillion, three hundred ninety-two billion, three hundred ninety-four million, six hundred fifty-six thousand".