404040401 has 2 divisors, whose sum is σ = 404040402. Its totient is φ = 404040400.

The previous prime is 404040361. The next prime is 404040409. The reversal of 404040401 is 104040404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 399960001 + 4080400 = 19999^2 + 2020^2 .

It is a cyclic number.

It is not a de Polignac number, because 404040401 - 2⁶ = 404040337 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 404040401.

It is not a weakly prime, because it can be changed into another prime (404040409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202020200 + 202020201.

It is an arithmetic number, because the mean of its divisors is an integer number (202020201).

Almost surely, 2^404040401 is an apocalyptic number.

It is an amenable number.

404040401 is a deficient number, since it is larger than the sum of its proper divisors (1).

404040401 is an equidigital number, since it uses as much as digits as its factorization.

404040401 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.

The square root of 404040401 is about 20100.7562295551. The cubic root of 404040401 is about 739.2788207659.

Adding to 404040401 its reverse (104040404), we get a palindrome (508080805).

The spelling of 404040401 in words is "four hundred four million, forty thousand, four hundred one".