404117363208 has 256 divisors, whose sum is σ = 1120097341440. Its totient is φ = 120745497600.

The previous prime is 404117363207. The next prime is 404117363231. The reversal of 404117363208 is 802363711404.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (404117363203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 455599741 + ... + 455600627.

It is an arithmetic number, because the mean of its divisors is an integer number (4375380240).

Almost surely, 2^404117363208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404117363208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560048670720).

404117363208 is an abundant number, since it is smaller than the sum of its proper divisors (715979978232).

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

404117363208 is a wasteful number, since it uses less digits than its factorization.

404117363208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 404117363208 in words is "four hundred four billion, one hundred seventeen million, three hundred sixty-three thousand, two hundred eight".