390807164160 has 432 divisors, whose sum is σ = 1571527601280. Its totient is φ = 87812259840.

The previous prime is 390807164131. The next prime is 390807164179. The reversal of 390807164160 is 61461708093.

It is a happy number.

390807164160 is a `hidden beast` number, since 3 + 90 + 80 + 71 + 6 + 416 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4716690 + ... + 4798830.

Almost surely, 2^390807164160 is an apocalyptic number.

390807164160 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 390807164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785763800640).

390807164160 is an abundant number, since it is smaller than the sum of its proper divisors (1180720437120).

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

390807164160 is a wasteful number, since it uses less digits than its factorization.

390807164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82234 (or 82217 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 390807164160 in words is "three hundred ninety billion, eight hundred seven million, one hundred sixty-four thousand, one hundred sixty".