399248016634368 has 3840 divisors, whose sum is σ = 1477332416102400. Its totient is φ = 103188440678400.

The previous prime is 399248016634367. The next prime is 399248016634393. The reversal of 399248016634368 is 863436610842993.

399248016634368 is a `hidden beast` number, since 3 + 9 + 9 + 24 + 8 + 0 + 166 + 3 + 436 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 399248016634296 and 399248016634305.

It is not an unprimeable number, because it can be changed into a prime (399248016634367) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3876194336205 + ... + 3876194336307.

It is an arithmetic number, because the mean of its divisors is an integer number (384721983360).

Almost surely, 2^{399248016634368} is an apocalyptic number.

399248016634368 is a gapful number since it is divisible by the number (38) 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 399248016634368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738666208051200).

399248016634368 is an abundant number, since it is smaller than the sum of its proper divisors (1078084399468032).

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

399248016634368 is a wasteful number, since it uses less digits than its factorization.

399248016634368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 967458816, while the sum is 72.

The spelling of 399248016634368 in words is "three hundred ninety-nine trillion, two hundred forty-eight billion, sixteen million, six hundred thirty-four thousand, three hundred sixty-eight".