399727085184 has 480 divisors, whose sum is σ = 1420987466340. Its totient is φ = 107476992000.

The previous prime is 399727085143. The next prime is 399727085189. The reversal of 399727085184 is 481580727993.

399727085184 is a `hidden beast` number, since 3 + 9 + 97 + 27 + 0 + 8 + 518 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 395842305600 + 3884779584 = 629160^2 + 62328^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399727085189) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 47016934 + ... + 47025434.

Almost surely, 2^399727085184 is an apocalyptic number.

399727085184 is a gapful number since it is divisible by the number (34) 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 399727085184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710493733170).

399727085184 is an abundant number, since it is smaller than the sum of its proper divisors (1021260381156).

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

399727085184 is an equidigital number, since it uses as much as digits as its factorization.

399727085184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8566 (or 8530 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 399727085184 in words is "three hundred ninety-nine billion, seven hundred twenty-seven million, eighty-five thousand, one hundred eighty-four".