399010294480896 has 1440 divisors, whose sum is σ = 1452481735219200. Its totient is φ = 107639706746880.

The previous prime is 399010294480867. The next prime is 399010294480921. The reversal of 399010294480896 is 698084492010993.

399010294480896 is a `hidden beast` number, since 3 + 9 + 90 + 1 + 0 + 2 + 9 + 448 + 0 + 8 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136320563785 + ... + 136320566711.

It is an arithmetic number, because the mean of its divisors is an integer number (1008667871680).

Almost surely, 2^{399010294480896} is an apocalyptic number.

399010294480896 is a gapful number since it is divisible by the number (36) 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 399010294480896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726240867609600).

399010294480896 is an abundant number, since it is smaller than the sum of its proper divisors (1053471440738304).

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

399010294480896 is a wasteful number, since it uses less digits than its factorization.

399010294480896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 399010294480896 in words is "three hundred ninety-nine trillion, ten billion, two hundred ninety-four million, four hundred eighty thousand, eight hundred ninety-six".