414042304301 has 2 divisors, whose sum is σ = 414042304302. Its totient is φ = 414042304300.

The previous prime is 414042304259. The next prime is 414042304303. The reversal of 414042304301 is 103403240414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 411585119401 + 2457184900 = 641549^2 + 49570^2 .

It is a cyclic number.

It is not a de Polignac number, because 414042304301 - 2¹⁸ = 414042042157 is a prime.

Together with 414042304303, 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 (414042304303) 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, 207021152150 + 207021152151.

It is an arithmetic number, because the mean of its divisors is an integer number (207021152151).

Almost surely, 2^414042304301 is an apocalyptic number.

It is an amenable number.

414042304301 is a deficient number, since it is larger than the sum of its proper divisors (1).

414042304301 is an equidigital number, since it uses as much as digits as its factorization.

414042304301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 414042304301 its reverse (103403240414), we get a palindrome (517445544715).

The spelling of 414042304301 in words is "four hundred fourteen billion, forty-two million, three hundred four thousand, three hundred one".