414013444441 has 2 divisors, whose sum is σ = 414013444442. Its totient is φ = 414013444440.

The previous prime is 414013444423. The next prime is 414013444483. The reversal of 414013444441 is 144444310414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 233752910400 + 180260534041 = 483480^2 + 424571^2 .

It is a cyclic number.

It is not a de Polignac number, because 414013444441 - 2⁹ = 414013443929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414013444397 and 414013444406.

It is not a weakly prime, because it can be changed into another prime (414013441441) 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, 207006722220 + 207006722221.

It is an arithmetic number, because the mean of its divisors is an integer number (207006722221).

Almost surely, 2^414013444441 is an apocalyptic number.

It is an amenable number.

414013444441 is a deficient number, since it is larger than the sum of its proper divisors (1).

414013444441 is an equidigital number, since it uses as much as digits as its factorization.

414013444441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 414013444441 its reverse (144444310414), we get a palindrome (558457754855).

The spelling of 414013444441 in words is "four hundred fourteen billion, thirteen million, four hundred forty-four thousand, four hundred forty-one".