390899416836096 has 1728 divisors, whose sum is σ = 1375499701255680. Its totient is φ = 106516021248000.

The previous prime is 390899416836041. The next prime is 390899416836101. The reversal of 390899416836096 is 690638614998093.

390899416836096 is a `hidden beast` number, since 3 + 9 + 0 + 8 + 9 + 9 + 4 + 168 + 360 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 722549753586 + ... + 722549754126.

It is an arithmetic number, because the mean of its divisors is an integer number (796006771560).

Almost surely, 2^{390899416836096} is an apocalyptic number.

390899416836096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390899416836096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687749850627840).

390899416836096 is an abundant number, since it is smaller than the sum of its proper divisors (984600284419584).

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

390899416836096 is a wasteful number, since it uses less digits than its factorization.

390899416836096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 3265173504, while the sum is 81.

The spelling of 390899416836096 in words is "three hundred ninety trillion, eight hundred ninety-nine billion, four hundred sixteen million, eight hundred thirty-six thousand, ninety-six".