399921044700672 has 1440 divisors, whose sum is σ = 1333353051942912. Its totient is φ = 115164758016000.

The previous prime is 399921044700659. The next prime is 399921044700713. The reversal of 399921044700672 is 276007440129993.

399921044700672 is a `hidden beast` number, since 3 + 9 + 9 + 92 + 1 + 0 + 4 + 470 + 0 + 6 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 413568815133 + ... + 413568816099.

Almost surely, 2^{399921044700672} is an apocalyptic number.

399921044700672 is a gapful number since it is divisible by the number (32) 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 399921044700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666676525971456).

399921044700672 is an abundant number, since it is smaller than the sum of its proper divisors (933432007242240).

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

399921044700672 is a wasteful number, since it uses less digits than its factorization.

399921044700672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 399921044700672 in words is "three hundred ninety-nine trillion, nine hundred twenty-one billion, forty-four million, seven hundred thousand, six hundred seventy-two".