414041114401 has 2 divisors, whose sum is σ = 414041114402. Its totient is φ = 414041114400.

The previous prime is 414041114387. The next prime is 414041114449. The reversal of 414041114401 is 104411140414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 271832933376 + 142208181025 = 521376^2 + 377105^2 .

It is a cyclic number.

It is not a de Polignac number, because 414041114401 - 2⁵ = 414041114369 is a prime.

It is not a weakly prime, because it can be changed into another prime (414041114491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207020557200 + 207020557201.

It is an arithmetic number, because the mean of its divisors is an integer number (207020557201).

Almost surely, 2^414041114401 is an apocalyptic number.

It is an amenable number.

414041114401 is a deficient number, since it is larger than the sum of its proper divisors (1).

414041114401 is an equidigital number, since it uses as much as digits as its factorization.

414041114401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 414041114401 its reverse (104411140414), we get a palindrome (518452254815).

The spelling of 414041114401 in words is "four hundred fourteen billion, forty-one million, one hundred fourteen thousand, four hundred one".