414314123141 has 2 divisors, whose sum is σ = 414314123142. Its totient is φ = 414314123140.

The previous prime is 414314123117. The next prime is 414314123143. The reversal of 414314123141 is 141321413414.

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., 411920076100 + 2394047041 = 641810^2 + 48929^2 .

It is a cyclic number.

It is not a de Polignac number, because 414314123141 - 2²⁶ = 414247014277 is a prime.

Together with 414314123143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414314123143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207157061570 + 207157061571.

It is an arithmetic number, because the mean of its divisors is an integer number (207157061571).

Almost surely, 2^414314123141 is an apocalyptic number.

It is an amenable number.

414314123141 is a deficient number, since it is larger than the sum of its proper divisors (1).

414314123141 is an equidigital number, since it uses as much as digits as its factorization.

414314123141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4608, while the sum is 29.

Adding to 414314123141 its reverse (141321413414), we get a palindrome (555635536555).

The spelling of 414314123141 in words is "four hundred fourteen billion, three hundred fourteen million, one hundred twenty-three thousand, one hundred forty-one".