390504804144 has 480 divisors, whose sum is σ = 1337820374016. Its totient is φ = 95544852480.

The previous prime is 390504804143. The next prime is 390504804149. The reversal of 390504804144 is 441408405093.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 390504804096 and 390504804105.

It is not an unprimeable number, because it can be changed into a prime (390504804143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89624814 + ... + 89629170.

Almost surely, 2^390504804144 is an apocalyptic number.

390504804144 is a gapful number since it is divisible by the number (34) 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 390504804144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668910187008).

390504804144 is an abundant number, since it is smaller than the sum of its proper divisors (947315569872).

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

390504804144 is a wasteful number, since it uses less digits than its factorization.

390504804144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4493 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 390504804144 in words is "three hundred ninety billion, five hundred four million, eight hundred four thousand, one hundred forty-four".