2004144404045 has 12 divisors (see below), whose sum is σ = 2797621984764. Its totient is φ = 1374270448320.

The previous prime is 2004144404033. The next prime is 2004144404069. The reversal of 2004144404045 is 5404044414002.

It can be written as a sum of positive squares in 2 ways, for example, as 1434585898564 + 569558505481 = 1197742^2 + 754691^2 .

It is not a de Polignac number, because 2004144404045 - 2²⁰ = 2004143355469 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4090090376 + ... + 4090090865.

It is an arithmetic number, because the mean of its divisors is an integer number (233135165397).

Almost surely, 2^{2004144404045} is an apocalyptic number.

It is an amenable number.

2004144404045 is a deficient number, since it is larger than the sum of its proper divisors (793477580719).

2004144404045 is an equidigital number, since it uses as much as digits as its factorization.

2004144404045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8180181260 (or 8180181253 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 32.

Adding to 2004144404045 its reverse (5404044414002), we get a palindrome (7408188818047).

The spelling of 2004144404045 in words is "two trillion, four billion, one hundred forty-four million, four hundred four thousand, forty-five".