414130041 has 12 divisors (see below), whose sum is σ = 644202468. Its totient is φ = 254849184.

The previous prime is 414130001. The next prime is 414130091. The reversal of 414130041 is 140031414.

It can be written as a sum of positive squares in 2 ways, for example, as 209525625 + 204604416 = 14475^2 + 14304^2 .

It is not a de Polignac number, because 414130041 - 2⁶ = 414129977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414129996 and 414130023.

It is not an unprimeable number, because it can be changed into a prime (414130001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1769670 + ... + 1769903.

It is an arithmetic number, because the mean of its divisors is an integer number (53683539).

Almost surely, 2^414130041 is an apocalyptic number.

It is an amenable number.

414130041 is a deficient number, since it is larger than the sum of its proper divisors (230072427).

414130041 is a wasteful number, since it uses less digits than its factorization.

414130041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3539592 (or 3539589 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 414130041 is about 20350.1852817118. The cubic root of 414130041 is about 745.3820186912.

Adding to 414130041 its reverse (140031414), we get a palindrome (554161455).

The spelling of 414130041 in words is "four hundred fourteen million, one hundred thirty thousand, forty-one".