390477744780816 has 320 divisors, whose sum is σ = 1262476596326400. Its totient is φ = 101033362022400.

The previous prime is 390477744780731. The next prime is 390477744780829. The reversal of 390477744780816 is 618087447774093.

It is a super-2 number, since 2×390477744780816² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1849369140 + ... + 1849580268.

It is an arithmetic number, because the mean of its divisors is an integer number (3945239363520).

Almost surely, 2^{390477744780816} 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 390477744780816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631238298163200).

390477744780816 is an abundant number, since it is smaller than the sum of its proper divisors (871998851545584).

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

390477744780816 is a wasteful number, since it uses less digits than its factorization.

390477744780816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213078 (or 213072 counting only the distinct ones).

The product of its (nonzero) digits is 1593188352, while the sum is 75.

The spelling of 390477744780816 in words is "three hundred ninety trillion, four hundred seventy-seven billion, seven hundred forty-four million, seven hundred eighty thousand, eight hundred sixteen".