414020331217 has 2 divisors, whose sum is σ = 414020331218. Its totient is φ = 414020331216.

The previous prime is 414020331211. The next prime is 414020331247. The reversal of 414020331217 is 712133020414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 390045215296 + 23975115921 = 624536^2 + 154839^2 .

It is a cyclic number.

It is not a de Polignac number, because 414020331217 - 2¹⁵ = 414020298449 is a prime.

It is a super-3 number, since 3×414020331217³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (414020331211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207010165608 + 207010165609.

It is an arithmetic number, because the mean of its divisors is an integer number (207010165609).

Almost surely, 2^414020331217 is an apocalyptic number.

It is an amenable number.

414020331217 is a deficient number, since it is larger than the sum of its proper divisors (1).

414020331217 is an equidigital number, since it uses as much as digits as its factorization.

414020331217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 414020331217 in words is "four hundred fourteen billion, twenty million, three hundred thirty-one thousand, two hundred seventeen".