2004442420401 has 40 divisors (see below), whose sum is σ = 3001403850984. Its totient is φ = 1333123246080.

The previous prime is 2004442420399. The next prime is 2004442420447. The reversal of 2004442420401 is 1040242444002.

It can be written as a sum of positive squares in 4 ways, for example, as 362405204001 + 1642037216400 = 602001^2 + 1281420^2 .

It is not a de Polignac number, because 2004442420401 - 2¹ = 2004442420399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2004442420601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83950801 + ... + 83974673.

Almost surely, 2^{2004442420401} is an apocalyptic number.

It is an amenable number.

2004442420401 is a deficient number, since it is larger than the sum of its proper divisors (996961430583).

2004442420401 is a wasteful number, since it uses less digits than its factorization.

2004442420401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26303 (or 26294 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 2004442420401 its reverse (1040242444002), we get a palindrome (3044684864403).

The spelling of 2004442420401 in words is "two trillion, four billion, four hundred forty-two million, four hundred twenty thousand, four hundred one".