394120879152000 has 6144 divisors, whose sum is σ = 1833795624960000. Its totient is φ = 74180800512000.

The previous prime is 394120879151971. The next prime is 394120879152031. The reversal of 394120879152000 is 251978021493.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2417919503919 + ... + 2417919504081.

It is an arithmetic number, because the mean of its divisors is an integer number (298469340000).

Almost surely, 2^{394120879152000} is an apocalyptic number.

394120879152000 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 394120879152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916897812480000).

394120879152000 is an abundant number, since it is smaller than the sum of its proper divisors (1439674745808000).

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

394120879152000 is a wasteful number, since it uses less digits than its factorization.

394120879152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 394120879152000 in words is "three hundred ninety-four trillion, one hundred twenty billion, eight hundred seventy-nine million, one hundred fifty-two thousand".