4404125114401 has 2 divisors, whose sum is σ = 4404125114402. Its totient is φ = 4404125114400.

The previous prime is 4404125114393. The next prime is 4404125114531. The reversal of 4404125114401 is 1044115214044.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2732855328225 + 1671269786176 = 1653135^2 + 1292776^2 .

It is a cyclic number.

It is not a de Polignac number, because 4404125114401 - 2³ = 4404125114393 is a prime.

It is not a weakly prime, because it can be changed into another prime (4404125514401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2202062557200 + 2202062557201.

It is an arithmetic number, because the mean of its divisors is an integer number (2202062557201).

Almost surely, 2^{4404125114401} is an apocalyptic number.

It is an amenable number.

4404125114401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4404125114401 is an equidigital number, since it uses as much as digits as its factorization.

4404125114401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10240, while the sum is 31.

The spelling of 4404125114401 in words is "four trillion, four hundred four billion, one hundred twenty-five million, one hundred fourteen thousand, four hundred one".