4400404000417 has 2 divisors, whose sum is σ = 4400404000418. Its totient is φ = 4400404000416.

The previous prime is 4400404000387. The next prime is 4400404000429. The reversal of 4400404000417 is 7140004040044.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4400076788496 + 327211921 = 2097636^2 + 18089^2 .

It is a cyclic number.

It is not a de Polignac number, because 4400404000417 - 2¹⁵ = 4400403967649 is a prime.

It is not a weakly prime, because it can be changed into another prime (4400404000477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2200202000208 + 2200202000209.

It is an arithmetic number, because the mean of its divisors is an integer number (2200202000209).

Almost surely, 2^{4400404000417} is an apocalyptic number.

It is an amenable number.

4400404000417 is a deficient number, since it is larger than the sum of its proper divisors (1).

4400404000417 is an equidigital number, since it uses as much as digits as its factorization.

4400404000417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7168, while the sum is 28.

The spelling of 4400404000417 in words is "four trillion, four hundred billion, four hundred four million, four hundred seventeen", and thus it is an aban number.