399875712411648 has 768 divisors, whose sum is σ = 1229281837056000. Its totient is φ = 114487123968000.

The previous prime is 399875712411647. The next prime is 399875712411731. The reversal of 399875712411648 is 846114217578993.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 399875712411648.

It is not an unprimeable number, because it can be changed into a prime (399875712411647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15321482503 + ... + 15321508601.

It is an arithmetic number, because the mean of its divisors is an integer number (1600627392000).

Almost surely, 2^{399875712411648} 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 399875712411648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614640918528000).

399875712411648 is an abundant number, since it is smaller than the sum of its proper divisors (829406124644352).

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

399875712411648 is a wasteful number, since it uses less digits than its factorization.

399875712411648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26340 (or 26320 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 75.

The spelling of 399875712411648 in words is "three hundred ninety-nine trillion, eight hundred seventy-five billion, seven hundred twelve million, four hundred eleven thousand, six hundred forty-eight".