4102144412057 has 2 divisors, whose sum is σ = 4102144412058. Its totient is φ = 4102144412056.

The previous prime is 4102144411991. The next prime is 4102144412087. The reversal of 4102144412057 is 7502144412014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3929001873241 + 173142538816 = 1982171^2 + 416104^2 .

It is a cyclic number.

It is not a de Polignac number, because 4102144412057 - 2¹⁰ = 4102144411033 is a prime.

It is not a weakly prime, because it can be changed into another prime (4102144412087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2051072206028 + 2051072206029.

It is an arithmetic number, because the mean of its divisors is an integer number (2051072206029).

Almost surely, 2^{4102144412057} is an apocalyptic number.

It is an amenable number.

4102144412057 is a deficient number, since it is larger than the sum of its proper divisors (1).

4102144412057 is an equidigital number, since it uses as much as digits as its factorization.

4102144412057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35840, while the sum is 35.

The spelling of 4102144412057 in words is "four trillion, one hundred two billion, one hundred forty-four million, four hundred twelve thousand, fifty-seven".