399609407957760 has 12096 divisors, whose sum is σ = 2156481431193600. Its totient is φ = 68676676485120.

The previous prime is 399609407957713. The next prime is 399609407957797. The reversal of 399609407957760 is 67759704906993.

399609407957760 is a `hidden beast` number, since 3 + 9 + 9 + 60 + 9 + 407 + 95 + 7 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (12096).

It is a super-2 number, since 2×399609407957760² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 399609407957760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1343 ways as a sum of consecutive naturals, for example, 4489993347796 + ... + 4489993347884.

It is an arithmetic number, because the mean of its divisors is an integer number (178280541600).

Almost surely, 2^{399609407957760} is an apocalyptic number.

399609407957760 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 399609407957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078240715596800).

399609407957760 is an abundant number, since it is smaller than the sum of its proper divisors (1756872023235840).

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

399609407957760 is a wasteful number, since it uses less digits than its factorization.

399609407957760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 4860913680, while the sum is 81.

The spelling of 399609407957760 in words is "three hundred ninety-nine trillion, six hundred nine billion, four hundred seven million, nine hundred fifty-seven thousand, seven hundred sixty".