394700942880 has 768 divisors, whose sum is σ = 1501220044800. Its totient is φ = 96566722560.

The previous prime is 394700942861. The next prime is 394700942897. The reversal of 394700942880 is 88249007493.

394700942880 is a `hidden beast` number, since 3 + 9 + 470 + 0 + 94 + 2 + 8 + 80 = 666.

It is a super-2 number, since 2×394700942880² (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 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 127 ways as a sum of consecutive naturals, for example, 391179816 + ... + 391180824.

It is an arithmetic number, because the mean of its divisors is an integer number (1954713600).

Almost surely, 2^394700942880 is an apocalyptic number.

394700942880 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 394700942880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750610022400).

394700942880 is an abundant number, since it is smaller than the sum of its proper divisors (1106519101920).

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

394700942880 is a wasteful number, since it uses less digits than its factorization.

394700942880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 394700942880 in words is "three hundred ninety-four billion, seven hundred million, nine hundred forty-two thousand, eight hundred eighty".