399331655424 has 864 divisors, whose sum is σ = 1377377361920. Its totient is φ = 113318092800.

The previous prime is 399331655413. The next prime is 399331655473. The reversal of 399331655424 is 424556133993.

399331655424 is a `hidden beast` number, since 3 + 9 + 9 + 3 + 31 + 65 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1473548409 + ... + 1473548679.

Almost surely, 2^399331655424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399331655424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688688680960).

399331655424 is an abundant number, since it is smaller than the sum of its proper divisors (978045706496).

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

399331655424 is a wasteful number, since it uses less digits than its factorization.

399331655424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 343 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The spelling of 399331655424 in words is "three hundred ninety-nine billion, three hundred thirty-one million, six hundred fifty-five thousand, four hundred twenty-four".