399560649120 has 240 divisors, whose sum is σ = 1413196075368. Its totient is φ = 106316789760.

The previous prime is 399560649119. The next prime is 399560649143. The reversal of 399560649120 is 21946065993.

399560649120 is a `hidden beast` number, since 3 + 9 + 9 + 5 + 606 + 4 + 9 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 160169644944 + 239391004176 = 400212^2 + 489276^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 5941122 + ... + 6007998.

Almost surely, 2^399560649120 is an apocalyptic number.

399560649120 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 399560649120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706598037684).

399560649120 is an abundant number, since it is smaller than the sum of its proper divisors (1013635426248).

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

399560649120 is a wasteful number, since it uses less digits than its factorization.

399560649120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67365 (or 67348 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 399560649120 in words is "three hundred ninety-nine billion, five hundred sixty million, six hundred forty-nine thousand, one hundred twenty".