390405816320 has 208 divisors, whose sum is σ = 1014686008560. Its totient is φ = 143344533504.

The previous prime is 390405816319. The next prime is 390405816349. The reversal of 390405816320 is 23618504093.

It is a tau number, because it is divible by the number of its divisors (208).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2181037991 + ... + 2181038169.

Almost surely, 2^390405816320 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 390405816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507343004280).

390405816320 is an abundant number, since it is smaller than the sum of its proper divisors (624280192240).

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

390405816320 is an frugal number, since it uses more digits than its factorization.

390405816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 390405816320 in words is "three hundred ninety billion, four hundred five million, eight hundred sixteen thousand, three hundred twenty".