414410403411241 has 2 divisors, whose sum is σ = 414410403411242. Its totient is φ = 414410403411240.

The previous prime is 414410403411229. The next prime is 414410403411253. The reversal of 414410403411241 is 142114304014414.

It is a balanced prime because it is at equal distance from previous prime (414410403411229) and next prime (414410403411253).

It can be written as a sum of positive squares in only one way, i.e., 340364309571225 + 74046093840016 = 18448965^2 + 8605004^2 .

It is a cyclic number.

It is not a de Polignac number, because 414410403411241 - 2⁷ = 414410403411113 is a prime.

It is a super-3 number, since 3×414410403411241³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414410403411197 and 414410403411206.

It is not a weakly prime, because it can be changed into another prime (414410403411211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207205201705620 + 207205201705621.

It is an arithmetic number, because the mean of its divisors is an integer number (207205201705621).

Almost surely, 2^{414410403411241} is an apocalyptic number.

It is an amenable number.

414410403411241 is a deficient number, since it is larger than the sum of its proper divisors (1).

414410403411241 is an equidigital number, since it uses as much as digits as its factorization.

414410403411241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24576, while the sum is 34.

Adding to 414410403411241 its reverse (142114304014414), we get a palindrome (556524707425655).

The spelling of 414410403411241 in words is "four hundred fourteen trillion, four hundred ten billion, four hundred three million, four hundred eleven thousand, two hundred forty-one".