2004122400441 has 128 divisors (see below), whose sum is σ = 3351642624000. Its totient is φ = 1039890908160.

The previous prime is 2004122400433. The next prime is 2004122400481. The reversal of 2004122400441 is 1440042214002.

It is not a de Polignac number, because 2004122400441 - 2³ = 2004122400433 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2004122400481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 192199870 + ... + 192210296.

It is an arithmetic number, because the mean of its divisors is an integer number (26184708000).

Almost surely, 2^{2004122400441} is an apocalyptic number.

2004122400441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2004122400441 is a deficient number, since it is larger than the sum of its proper divisors (1347520223559).

2004122400441 is a wasteful number, since it uses less digits than its factorization.

2004122400441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10719.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2004122400441 its reverse (1440042214002), we get a palindrome (3444164614443).

The spelling of 2004122400441 in words is "two trillion, four billion, one hundred twenty-two million, four hundred thousand, four hundred forty-one".