399404950556040 has 2048 divisors, whose sum is σ = 1670757580800000. Its totient is φ = 83431140065280.

The previous prime is 399404950556039. The next prime is 399404950556093. The reversal of 399404950556040 is 40655059404993.

399404950556040 is a `hidden beast` number, since 3 + 9 + 9 + 40 + 49 + 505 + 5 + 6 + 0 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 55526890684 + ... + 55526897876.

It is an arithmetic number, because the mean of its divisors is an integer number (815799600000).

Almost surely, 2^{399404950556040} is an apocalyptic number.

399404950556040 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 399404950556040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835378790400000).

399404950556040 is an abundant number, since it is smaller than the sum of its proper divisors (1271352630243960).

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

399404950556040 is a wasteful number, since it uses less digits than its factorization.

399404950556040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7532 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 63.

The spelling of 399404950556040 in words is "three hundred ninety-nine trillion, four hundred four billion, nine hundred fifty million, five hundred fifty-six thousand, forty".