404505505404 has 432 divisors, whose sum is σ = 1411307011296. Its totient is φ = 96018048000.

The previous prime is 404505505403. The next prime is 404505505427.

404505505404 is a `hidden beast` number, since 4 + 0 + 4 + 50 + 550 + 54 + 0 + 4 = 666.

404505505404 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404505505403) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25469514 + ... + 25485390.

It is an arithmetic number, because the mean of its divisors is an integer number (3266914378).

Almost surely, 2^404505505404 is an apocalyptic number.

404505505404 is a gapful number since it is divisible by the number (44) 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 404505505404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705653505648).

404505505404 is an abundant number, since it is smaller than the sum of its proper divisors (1006801505892).

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

404505505404 is a wasteful number, since it uses less digits than its factorization.

404505505404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16026 (or 16014 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

It can be divided in two parts, 404505 and 505404, that added together give a palindrome (909909).

The spelling of 404505505404 in words is "four hundred four billion, five hundred five million, five hundred five thousand, four hundred four".