414440113 has 2 divisors, whose sum is σ = 414440114. Its totient is φ = 414440112.

The previous prime is 414440111. The next prime is 414440119. The reversal of 414440113 is 311044414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 265429264 + 149010849 = 16292^2 + 12207^2 .

It is a cyclic number.

It is not a de Polignac number, because 414440113 - 2¹ = 414440111 is a prime.

Together with 414440111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (414440111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207220056 + 207220057.

It is an arithmetic number, because the mean of its divisors is an integer number (207220057).

Almost surely, 2^414440113 is an apocalyptic number.

It is an amenable number.

414440113 is a deficient number, since it is larger than the sum of its proper divisors (1).

414440113 is an equidigital number, since it uses as much as digits as its factorization.

414440113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 414440113 is about 20357.8022635058. The cubic root of 414440113 is about 745.5680024898.

Adding to 414440113 its reverse (311044414), we get a palindrome (725484527).

It can be divided in two parts, 4144401 and 13, that added together give a palindrome (4144414).

The spelling of 414440113 in words is "four hundred fourteen million, four hundred forty thousand, one hundred thirteen".