2004444301344 has 48 divisors (see below), whose sum is σ = 5261782599360. Its totient is φ = 668133331200.

The previous prime is 2004444301337. The next prime is 2004444301361. The reversal of 2004444301344 is 4431034444002.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4675194 + ... + 5085894.

It is an arithmetic number, because the mean of its divisors is an integer number (109620470820).

Almost surely, 2^{2004444301344} is an apocalyptic number.

2004444301344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2004444301344 is an abundant number, since it is smaller than the sum of its proper divisors (3257338298016).

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

2004444301344 is a wasteful number, since it uses less digits than its factorization.

2004444301344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461553 (or 461545 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 2004444301344 its reverse (4431034444002), we get a palindrome (6435478745346).

The spelling of 2004444301344 in words is "two trillion, four billion, four hundred forty-four million, three hundred one thousand, three hundred forty-four".