399038570864640 has 2352 divisors, whose sum is σ = 1679071288462848. Its totient is φ = 90725564547072.

The previous prime is 399038570864627. The next prime is 399038570864729. The reversal of 399038570864640 is 46468075830993.

399038570864640 is a `hidden beast` number, since 3 + 9 + 9 + 0 + 3 + 8 + 570 + 8 + 6 + 4 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 326278471069 + ... + 326278472291.

Almost surely, 2^{399038570864640} is an apocalyptic number.

399038570864640 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 399038570864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839535644231424).

399038570864640 is an abundant number, since it is smaller than the sum of its proper divisors (1280032717598208).

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

399038570864640 is an equidigital number, since it uses as much as digits as its factorization.

399038570864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 399038570864640 in words is "three hundred ninety-nine trillion, thirty-eight billion, five hundred seventy million, eight hundred sixty-four thousand, six hundred forty".