399992628672000 has 2880 divisors, whose sum is σ = 1790111388574080. Its totient is φ = 84053458944000.

The previous prime is 399992628671959. The next prime is 399992628672001. The reversal of 399992628672000 is 276826299993.

399992628672000 is a `hidden beast` number, since 39 + 9 + 99 + 26 + 286 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 399992628672000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399992628672001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 191475646956 + ... + 191475649044.

It is an arithmetic number, because the mean of its divisors is an integer number (621566454366).

Almost surely, 2^{399992628672000} is an apocalyptic number.

399992628672000 is a gapful number since it is divisible by the number (30) 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 399992628672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895055694287040).

399992628672000 is an abundant number, since it is smaller than the sum of its proper divisors (1390118759902080).

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

399992628672000 is a wasteful number, since it uses less digits than its factorization.

399992628672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 399992628672000 in words is "three hundred ninety-nine trillion, nine hundred ninety-two billion, six hundred twenty-eight million, six hundred seventy-two thousand".