399333621456 has 480 divisors, whose sum is σ = 1531166284800. Its totient is φ = 98262823680.

The previous prime is 399333621419. The next prime is 399333621469. The reversal of 399333621456 is 654126333993.

399333621456 is a `hidden beast` number, since 3 + 9 + 9 + 3 + 3 + 3 + 621 + 4 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 4378981 + ... + 4469243.

It is an arithmetic number, because the mean of its divisors is an integer number (3189929760).

Almost surely, 2^399333621456 is an apocalyptic number.

399333621456 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 399333621456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765583142400).

399333621456 is an abundant number, since it is smaller than the sum of its proper divisors (1131832663344).

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

399333621456 is a wasteful number, since it uses less digits than its factorization.

399333621456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90324 (or 90305 counting only the distinct ones).

The product of its digits is 9447840, while the sum is 54.

The spelling of 399333621456 in words is "three hundred ninety-nine billion, three hundred thirty-three million, six hundred twenty-one thousand, four hundred fifty-six".