390880444416 has 720 divisors, whose sum is σ = 1347148360320. Its totient is φ = 98618572800.

The previous prime is 390880444393. The next prime is 390880444429. The reversal of 390880444416 is 614444088093.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1706901390 + ... + 1706901618.

Almost surely, 2^390880444416 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 390880444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673574180160).

390880444416 is an abundant number, since it is smaller than the sum of its proper divisors (956267915904).

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

390880444416 is a wasteful number, since it uses less digits than its factorization.

390880444416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 390880444416 in words is "three hundred ninety billion, eight hundred eighty million, four hundred forty-four thousand, four hundred sixteen".