390100056480 has 240 divisors, whose sum is σ = 1449188405280. Its totient is φ = 98551531008.

The previous prime is 390100056439. The next prime is 390100056557. The reversal of 390100056480 is 84650001093.

390100056480 is a `hidden beast` number, since 3 + 9 + 0 + 1 + 0 + 0 + 0 + 5 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 545874 + ... + 1038353.

It is an arithmetic number, because the mean of its divisors is an integer number (6038285022).

Almost surely, 2^390100056480 is an apocalyptic number.

390100056480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

390100056480 is an abundant number, since it is smaller than the sum of its proper divisors (1059088348800).

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

390100056480 is a wasteful number, since it uses less digits than its factorization.

390100056480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584273 (or 1584256 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 390100056480 in words is "three hundred ninety billion, one hundred million, fifty-six thousand, four hundred eighty".