399982055508000 has 5760 divisors, whose sum is σ = 1855343338168320. Its totient is φ = 83881366732800.

The previous prime is 399982055507987. The next prime is 399982055508059. The reversal of 399982055508000 is 805550289993.

399982055508000 is a `hidden beast` number, since 39 + 9 + 98 + 2 + 0 + 5 + 5 + 508 + 0 + 0 + 0 = 666.

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

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 959 ways as a sum of consecutive naturals, for example, 2030365763902 + ... + 2030365764098.

It is an arithmetic number, because the mean of its divisors is an integer number (322108218432).

Almost surely, 2^{399982055508000} is an apocalyptic number.

399982055508000 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 399982055508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927671669084160).

399982055508000 is an abundant number, since it is smaller than the sum of its proper divisors (1455361282660320).

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

399982055508000 is a wasteful number, since it uses less digits than its factorization.

399982055508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 63.

The spelling of 399982055508000 in words is "three hundred ninety-nine trillion, nine hundred eighty-two billion, fifty-five million, five hundred eight thousand".