390356967354816 has 672 divisors, whose sum is σ = 1326773964257280. Its totient is φ = 99103620464640.

The previous prime is 390356967354799. The next prime is 390356967354839. The reversal of 390356967354816 is 618453769653093.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5877686026 + ... + 5877752438.

It is an arithmetic number, because the mean of its divisors is an integer number (1974366018240).

Almost surely, 2^{390356967354816} 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 390356967354816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663386982128640).

390356967354816 is an abundant number, since it is smaller than the sum of its proper divisors (936416996902464).

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

390356967354816 is a wasteful number, since it uses less digits than its factorization.

390356967354816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67273 (or 67252 counting only the distinct ones).

The product of its (nonzero) digits is 2645395200, while the sum is 75.

The spelling of 390356967354816 in words is "three hundred ninety trillion, three hundred fifty-six billion, nine hundred sixty-seven million, three hundred fifty-four thousand, eight hundred sixteen".