414001242241 has 2 divisors, whose sum is σ = 414001242242. Its totient is φ = 414001242240.

The previous prime is 414001242203. The next prime is 414001242251. The reversal of 414001242241 is 142242100414.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 299314033216 + 114687209025 = 547096^2 + 338655^2 .

It is a cyclic number.

It is not a de Polignac number, because 414001242241 - 2²¹ = 413999145089 is a prime.

It is not a weakly prime, because it can be changed into another prime (414001242251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207000621120 + 207000621121.

It is an arithmetic number, because the mean of its divisors is an integer number (207000621121).

Almost surely, 2^414001242241 is an apocalyptic number.

It is an amenable number.

414001242241 is a deficient number, since it is larger than the sum of its proper divisors (1).

414001242241 is an equidigital number, since it uses as much as digits as its factorization.

414001242241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 414001242241 its reverse (142242100414), we get a palindrome (556243342655).

The spelling of 414001242241 in words is "four hundred fourteen billion, one million, two hundred forty-two thousand, two hundred forty-one".