2004410044344 has 128 divisors (see below), whose sum is σ = 5203989000000. Its totient is φ = 642591387648.

The previous prime is 2004410044309. The next prime is 2004410044447. The reversal of 2004410044344 is 4434400144002.

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 31 ways as a sum of consecutive naturals, for example, 274234962 + ... + 274242270.

Almost surely, 2^{2004410044344} is an apocalyptic number.

2004410044344 is a gapful number since it is divisible by the number (24) 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 2004410044344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601994500000).

2004410044344 is an abundant number, since it is smaller than the sum of its proper divisors (3199578955656).

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

2004410044344 is a wasteful number, since it uses less digits than its factorization.

2004410044344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8825 (or 8821 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 2004410044344 its reverse (4434400144002), we get a palindrome (6438810188346).

The spelling of 2004410044344 in words is "two trillion, four billion, four hundred ten million, forty-four thousand, three hundred forty-four".