404609916690 has 256 divisors, whose sum is σ = 1245771878400. Its totient is φ = 91535837184.

The previous prime is 404609916677. The next prime is 404609916703. The reversal of 404609916690 is 96619906404.

404609916690 is a `hidden beast` number, since 4 + 0 + 460 + 9 + 91 + 6 + 6 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (404609916677) and next prime (404609916703).

It is a super-2 number, since 2×404609916690² (a number of 24 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 92734449 + ... + 92738811.

It is an arithmetic number, because the mean of its divisors is an integer number (4866296400).

Almost surely, 2^404609916690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404609916690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622885939200).

404609916690 is an abundant number, since it is smaller than the sum of its proper divisors (841161961710).

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

404609916690 is a wasteful number, since it uses less digits than its factorization.

404609916690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 4872 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 404609916690 in words is "four hundred four billion, six hundred nine million, nine hundred sixteen thousand, six hundred ninety".