399512490860160 has 768 divisors, whose sum is σ = 1476343819884960. Its totient is φ = 99202649554944.

The previous prime is 399512490860117. The next prime is 399512490860183. The reversal of 399512490860160 is 61068094215993.

399512490860160 is a `hidden beast` number, since 3 + 9 + 9 + 5 + 1 + 2 + 490 + 86 + 0 + 1 + 60 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5229198121536 + 394283292738624 = 2286744^2 + 19856568^2 .

It is a super-2 number, since 2×399512490860160² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3581955754 + ... + 3582067286.

Almost surely, 2^{399512490860160} is an apocalyptic number.

399512490860160 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 399512490860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738171909942480).

399512490860160 is an abundant number, since it is smaller than the sum of its proper divisors (1076831329024800).

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

399512490860160 is a wasteful number, since it uses less digits than its factorization.

399512490860160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111965 (or 111950 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 399512490860160 in words is "three hundred ninety-nine trillion, five hundred twelve billion, four hundred ninety million, eight hundred sixty thousand, one hundred sixty".