414224401201301 has 2 divisors, whose sum is σ = 414224401201302. Its totient is φ = 414224401201300.

The previous prime is 414224401201279. The next prime is 414224401201309. The reversal of 414224401201301 is 103102104422414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 373368667562500 + 40855733638801 = 19322750^2 + 6391849^2 .

It is a cyclic number.

It is not a de Polignac number, because 414224401201301 - 2⁴² = 409826354690197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414224401201309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207112200600650 + 207112200600651.

It is an arithmetic number, because the mean of its divisors is an integer number (207112200600651).

Almost surely, 2^{414224401201301} is an apocalyptic number.

It is an amenable number.

414224401201301 is a deficient number, since it is larger than the sum of its proper divisors (1).

414224401201301 is an equidigital number, since it uses as much as digits as its factorization.

414224401201301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 414224401201301 its reverse (103102104422414), we get a palindrome (517326505623715).

The spelling of 414224401201301 in words is "four hundred fourteen trillion, two hundred twenty-four billion, four hundred one million, two hundred one thousand, three hundred one".