390241234944 has 546 divisors, whose sum is σ = 1288230973596. Its totient is φ = 117170012160.

The previous prime is 390241234913. The next prime is 390241234963. The reversal of 390241234944 is 449432142093.

390241234944 is a `hidden beast` number, since 3 + 90 + 241 + 234 + 94 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 390241234944.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3580194762 + ... + 3580194870.

Almost surely, 2^390241234944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390241234944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644115486798).

390241234944 is an abundant number, since it is smaller than the sum of its proper divisors (897989738652).

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

390241234944 is an frugal number, since it uses more digits than its factorization.

390241234944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 390241234944 in words is "three hundred ninety billion, two hundred forty-one million, two hundred thirty-four thousand, nine hundred forty-four".