414114544121 has 2 divisors, whose sum is σ = 414114544122. Its totient is φ = 414114544120.

The previous prime is 414114544091. The next prime is 414114544133. The reversal of 414114544121 is 121445411414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 413140417600 + 974126521 = 642760^2 + 31211^2 .

It is a cyclic number.

It is not a de Polignac number, because 414114544121 - 2²² = 414110349817 is a prime.

It is not a weakly prime, because it can be changed into another prime (414114540121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207057272060 + 207057272061.

It is an arithmetic number, because the mean of its divisors is an integer number (207057272061).

Almost surely, 2^414114544121 is an apocalyptic number.

It is an amenable number.

414114544121 is a deficient number, since it is larger than the sum of its proper divisors (1).

414114544121 is an equidigital number, since it uses as much as digits as its factorization.

414114544121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10240, while the sum is 32.

Adding to 414114544121 its reverse (121445411414), we get a palindrome (535559955535).

The spelling of 414114544121 in words is "four hundred fourteen billion, one hundred fourteen million, five hundred forty-four thousand, one hundred twenty-one".