414104352301 has 2 divisors, whose sum is σ = 414104352302. Its totient is φ = 414104352300.

The previous prime is 414104352283. The next prime is 414104352313. The reversal of 414104352301 is 103253401414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 360996688900 + 53107663401 = 600830^2 + 230451^2 .

It is a cyclic number.

It is not a de Polignac number, because 414104352301 - 2¹³ = 414104344109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414104352301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414104356301) 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, 207052176150 + 207052176151.

It is an arithmetic number, because the mean of its divisors is an integer number (207052176151).

Almost surely, 2^414104352301 is an apocalyptic number.

It is an amenable number.

414104352301 is a deficient number, since it is larger than the sum of its proper divisors (1).

414104352301 is an equidigital number, since it uses as much as digits as its factorization.

414104352301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 414104352301 its reverse (103253401414), we get a palindrome (517357753715).

The spelling of 414104352301 in words is "four hundred fourteen billion, one hundred four million, three hundred fifty-two thousand, three hundred one".