4401312242177 has 2 divisors, whose sum is σ = 4401312242178. Its totient is φ = 4401312242176.

The previous prime is 4401312242083. The next prime is 4401312242191. The reversal of 4401312242177 is 7712422131044.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3333311941696 + 1068000300481 = 1825736^2 + 1033441^2 .

It is a cyclic number.

It is not a de Polignac number, because 4401312242177 - 2³⁶ = 4332592765441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4401312242177.

It is not a weakly prime, because it can be changed into another prime (4401312242777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2200656121088 + 2200656121089.

It is an arithmetic number, because the mean of its divisors is an integer number (2200656121089).

Almost surely, 2^{4401312242177} is an apocalyptic number.

It is an amenable number.

4401312242177 is a deficient number, since it is larger than the sum of its proper divisors (1).

4401312242177 is an equidigital number, since it uses as much as digits as its factorization.

4401312242177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75264, while the sum is 38.

The spelling of 4401312242177 in words is "four trillion, four hundred one billion, three hundred twelve million, two hundred forty-two thousand, one hundred seventy-seven".