4111142084657 has 2 divisors, whose sum is σ = 4111142084658. Its totient is φ = 4111142084656.

The previous prime is 4111142084597. The next prime is 4111142084701. The reversal of 4111142084657 is 7564802411114.

It is a happy number.

4111142084657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (4111142084701) can be obtained adding 4111142084657 to its sum of digits (44).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2813549988496 + 1297592096161 = 1677364^2 + 1139119^2 .

It is a cyclic number.

It is not a de Polignac number, because 4111142084657 - 2²⁰ = 4111141036081 is a prime.

It is not a weakly prime, because it can be changed into another prime (4111142084957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2055571042328 + 2055571042329.

It is an arithmetic number, because the mean of its divisors is an integer number (2055571042329).

Almost surely, 2^{4111142084657} is an apocalyptic number.

It is an amenable number.

4111142084657 is a deficient number, since it is larger than the sum of its proper divisors (1).

4111142084657 is an equidigital number, since it uses as much as digits as its factorization.

4111142084657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 215040, while the sum is 44.

The spelling of 4111142084657 in words is "four trillion, one hundred eleven billion, one hundred forty-two million, eighty-four thousand, six hundred fifty-seven".