4044400404001 has 2 divisors, whose sum is σ = 4044400404002. Its totient is φ = 4044400404000.

The previous prime is 4044400403993. The next prime is 4044400404043. The reversal of 4044400404001 is 1004040044404.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3784503344400 + 259897059601 = 1945380^2 + 509801^2 .

It is a cyclic number.

It is not a de Polignac number, because 4044400404001 - 2³ = 4044400403993 is a prime.

It is not a weakly prime, because it can be changed into another prime (4044400404901) by changing a digit.

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 as a sum of consecutive naturals, namely, 2022200202000 + 2022200202001.

It is an arithmetic number, because the mean of its divisors is an integer number (2022200202001).

Almost surely, 2^{4044400404001} is an apocalyptic number.

It is an amenable number.

4044400404001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4044400404001 is an equidigital number, since it uses as much as digits as its factorization.

4044400404001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 4044400404001 its reverse (1004040044404), we get a palindrome (5048440448405).

The spelling of 4044400404001 in words is "four trillion, forty-four billion, four hundred million, four hundred four thousand, one".