404040204144 has 240 divisors, whose sum is σ = 1218550829184. Its totient is φ = 124510003200.

The previous prime is 404040204137. The next prime is 404040204151. The reversal of 404040204144 is 441402040404.

404040204144 is a `hidden beast` number, since 40 + 404 + 0 + 204 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (404040204137) and next prime (404040204151).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151267929 + ... + 151270599.

Almost surely, 2^404040204144 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 404040204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609275414592).

404040204144 is an abundant number, since it is smaller than the sum of its proper divisors (814510625040).

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

404040204144 is a wasteful number, since it uses less digits than its factorization.

404040204144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 404040204144 its reverse (441402040404), we get a palindrome (845442244548).

The spelling of 404040204144 in words is "four hundred four billion, forty million, two hundred four thousand, one hundred forty-four".