390999506040 has 192 divisors, whose sum is σ = 1492907401440. Its totient is φ = 87496381440.

The previous prime is 390999505993. The next prime is 390999506047. The reversal of 390999506040 is 40605999093.

390999506040 is a `hidden beast` number, since 3 + 9 + 0 + 9 + 99 + 506 + 0 + 40 = 666.

390999506040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×390999506040³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390999506047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3746107 + ... + 3849066.

Almost surely, 2^390999506040 is an apocalyptic number.

390999506040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

390999506040 is an abundant number, since it is smaller than the sum of its proper divisors (1101907895400).

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

390999506040 is a wasteful number, since it uses less digits than its factorization.

390999506040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7595214 (or 7595207 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 390999506040 in words is "three hundred ninety billion, nine hundred ninety-nine million, five hundred six thousand, forty".