390938687435520 has 1152 divisors, whose sum is σ = 1680795979591680. Its totient is φ = 83997932912640.

The previous prime is 390938687435507. The next prime is 390938687435533. The reversal of 390938687435520 is 25534786839093.

390938687435520 is a `hidden beast` number, since 3 + 9 + 0 + 9 + 3 + 8 + 68 + 7 + 4 + 3 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (390938687435507) and next prime (390938687435533).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-4 number, since 4×390938687435520⁴ (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 3376419549 + ... + 3376535331.

It is an arithmetic number, because the mean of its divisors is an integer number (1459024287840).

Almost surely, 2^{390938687435520} is an apocalyptic number.

390938687435520 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 390938687435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840397989795840).

390938687435520 is an abundant number, since it is smaller than the sum of its proper divisors (1289857292156160).

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

390938687435520 is a wasteful number, since it uses less digits than its factorization.

390938687435520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116658 (or 116638 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 390938687435520 in words is "three hundred ninety trillion, nine hundred thirty-eight billion, six hundred eighty-seven million, four hundred thirty-five thousand, five hundred twenty".