390995918640 has 640 divisors, whose sum is σ = 1515888691200. Its totient is φ = 92047933440.

The previous prime is 390995918633. The next prime is 390995918707. The reversal of 390995918640 is 46819599093.

390995918640 is a `hidden beast` number, since 39 + 0 + 9 + 9 + 591 + 8 + 6 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71858320 + ... + 71863760.

It is an arithmetic number, because the mean of its divisors is an integer number (2368576080).

Almost surely, 2^390995918640 is an apocalyptic number.

390995918640 is a gapful number since it is divisible by the number (30) 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 390995918640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757944345600).

390995918640 is an abundant number, since it is smaller than the sum of its proper divisors (1124892772560).

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

390995918640 is a wasteful number, since it uses less digits than its factorization.

390995918640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5602 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 390995918640 in words is "three hundred ninety billion, nine hundred ninety-five million, nine hundred eighteen thousand, six hundred forty".