394408768320 has 896 divisors, whose sum is σ = 1625057049600. Its totient is φ = 88194023424.

The previous prime is 394408768297. The next prime is 394408768321. The reversal of 394408768320 is 23867804493.

394408768320 is a `hidden beast` number, since 3 + 94 + 408 + 76 + 83 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394408768321) by changing a digit.

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, 693160996 + ... + 693161564.

Almost surely, 2^394408768320 is an apocalyptic number.

394408768320 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 394408768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812528524800).

394408768320 is an abundant number, since it is smaller than the sum of its proper divisors (1230648281280).

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

394408768320 is a wasteful number, since it uses less digits than its factorization.

394408768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 394408768320 in words is "three hundred ninety-four billion, four hundred eight million, seven hundred sixty-eight thousand, three hundred twenty".