399053674656 has 1152 divisors, whose sum is σ = 1567227916800. Its totient is φ = 98907734016.

The previous prime is 399053674637. The next prime is 399053674693. The reversal of 399053674656 is 656476350993.

399053674656 is a `hidden beast` number, since 3 + 9 + 9 + 0 + 536 + 7 + 46 + 56 = 666.

399053674656 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 399053674593 and 399053674602.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 589443790 + ... + 589444466.

It is an arithmetic number, because the mean of its divisors is an integer number (1360440900).

Almost surely, 2^399053674656 is an apocalyptic number.

399053674656 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 399053674656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783613958400).

399053674656 is an abundant number, since it is smaller than the sum of its proper divisors (1168174242144).

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

399053674656 is a wasteful number, since it uses less digits than its factorization.

399053674656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 110224800, while the sum is 63.

The spelling of 399053674656 in words is "three hundred ninety-nine billion, fifty-three million, six hundred seventy-four thousand, six hundred fifty-six".