399027686400 has 528 divisors, whose sum is σ = 1674696225280. Its totient is φ = 91205222400.

The previous prime is 399027686357. The next prime is 399027686411. The reversal of 399027686400 is 4686720993.

It is a happy number.

399027686400 is a `hidden beast` number, since 3 + 9 + 90 + 2 + 76 + 86 + 400 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 4797165 + ... + 4879635.

Almost surely, 2^399027686400 is an apocalyptic number.

399027686400 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 399027686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837348112640).

399027686400 is an abundant number, since it is smaller than the sum of its proper divisors (1275668538880).

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

399027686400 is a wasteful number, since it uses less digits than its factorization.

399027686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82517 (or 82488 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 399027686400 in words is "three hundred ninety-nine billion, twenty-seven million, six hundred eighty-six thousand, four hundred".