414112201354277 has 2 divisors, whose sum is σ = 414112201354278. Its totient is φ = 414112201354276.

The previous prime is 414112201354219. The next prime is 414112201354279. The reversal of 414112201354277 is 772453102211414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 413685741418756 + 426459935521 = 20339266^2 + 653039^2 .

It is a cyclic number.

It is not a de Polignac number, because 414112201354277 - 2⁶ = 414112201354213 is a prime.

Together with 414112201354279, 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 (414112201354279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207056100677138 + 207056100677139.

It is an arithmetic number, because the mean of its divisors is an integer number (207056100677139).

Almost surely, 2^{414112201354277} is an apocalyptic number.

It is an amenable number.

414112201354277 is a deficient number, since it is larger than the sum of its proper divisors (1).

414112201354277 is an equidigital number, since it uses as much as digits as its factorization.

414112201354277 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 376320, while the sum is 44.

The spelling of 414112201354277 in words is "four hundred fourteen trillion, one hundred twelve billion, two hundred one million, three hundred fifty-four thousand, two hundred seventy-seven".