2004440404400 has 120 divisors (see below), whose sum is σ = 5742908692224. Its totient is φ = 657356832000.

The previous prime is 2004440404367. The next prime is 2004440404441. The reversal of 2004440404400 is 44040444002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2004440404400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15498026 + ... + 15626825.

Almost surely, 2^{2004440404400} is an apocalyptic number.

2004440404400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004440404400 is an abundant number, since it is smaller than the sum of its proper divisors (3738468287824).

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

2004440404400 is a wasteful number, since it uses less digits than its factorization.

2004440404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31124899 (or 31124888 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 2004440404400 its reverse (44040444002), we get a palindrome (2048480848402).

The spelling of 2004440404400 in words is "two trillion, four billion, four hundred forty million, four hundred four thousand, four hundred".