390888638496 has 144 divisors (see below), whose sum is σ = 1115986697280. Its totient is φ = 129781854720.

The previous prime is 390888638477. The next prime is 390888638513. The reversal of 390888638496 is 694836888093.

390888638496 is a `hidden beast` number, since 3 + 9 + 0 + 88 + 86 + 384 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90085095 + ... + 90089433.

It is an arithmetic number, because the mean of its divisors is an integer number (7749907620).

Almost surely, 2^390888638496 is an apocalyptic number.

390888638496 is a gapful number since it is divisible by the number (36) 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 390888638496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557993348640).

390888638496 is an abundant number, since it is smaller than the sum of its proper divisors (725098058784).

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

390888638496 is a wasteful number, since it uses less digits than its factorization.

390888638496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5519 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 390888638496 in words is "three hundred ninety billion, eight hundred eighty-eight million, six hundred thirty-eight thousand, four hundred ninety-six".