4400400004001 has 2 divisors, whose sum is σ = 4400400004002. Its totient is φ = 4400400004000.

The previous prime is 4400400003997. The next prime is 4400400004073. The reversal of 4400400004001 is 1004000040044.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3683539755025 + 716860248976 = 1919255^2 + 846676^2 .

It is a cyclic number.

It is not a de Polignac number, because 4400400004001 - 2² = 4400400003997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (4400400004801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2200200002000 + 2200200002001.

It is an arithmetic number, because the mean of its divisors is an integer number (2200200002001).

Almost surely, 2^{4400400004001} is an apocalyptic number.

It is an amenable number.

4400400004001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4400400004001 is an equidigital number, since it uses as much as digits as its factorization.

4400400004001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 4400400004001 its reverse (1004000040044), we get a palindrome (5404400044045).

The spelling of 4400400004001 in words is "four trillion, four hundred billion, four hundred million, four thousand, one".