2004411334400 has 54 divisors (see below), whose sum is σ = 4961231257752. Its totient is φ = 801764531200.

The previous prime is 2004411334369. The next prime is 2004411334421. The reversal of 2004411334400 is 44331144002.

It is a self number, because there is not a number n which added to its sum of digits gives 2004411334400.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 156588236 + ... + 156601035.

Almost surely, 2^{2004411334400} is an apocalyptic number.

2004411334400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004411334400 is an abundant number, since it is smaller than the sum of its proper divisors (2956819923352).

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

2004411334400 is an equidigital number, since it uses as much as digits as its factorization.

2004411334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313189297 (or 313189278 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2004411334400 its reverse (44331144002), we get a palindrome (2048742478402).

The spelling of 2004411334400 in words is "two trillion, four billion, four hundred eleven million, three hundred thirty-four thousand, four hundred".