399433072896 has 648 divisors, whose sum is σ = 1371504214080. Its totient is φ = 111055380480.

The previous prime is 399433072891. The next prime is 399433072949. The reversal of 399433072896 is 698270334993.

399433072896 is a `hidden beast` number, since 3 + 9 + 9 + 43 + 307 + 289 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (399433072891) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1112626765 + ... + 1112627123.

Almost surely, 2^399433072896 is an apocalyptic number.

399433072896 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 399433072896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685752107040).

399433072896 is an abundant number, since it is smaller than the sum of its proper divisors (972071141184).

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

399433072896 is a wasteful number, since it uses less digits than its factorization.

399433072896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 399433072896 in words is "three hundred ninety-nine billion, four hundred thirty-three million, seventy-two thousand, eight hundred ninety-six".