414211041 has 12 divisors (see below), whose sum is σ = 614475732. Its totient is φ = 268677216.

The previous prime is 414211019. The next prime is 414211051. The reversal of 414211041 is 140112414.

414211041 is a `hidden beast` number, since 414 + 211 + 0 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 243360000 + 170851041 = 15600^2 + 13071^2 .

It is not a de Polignac number, because 414211041 - 2⁷ = 414210913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414211051) 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, 621606 + ... + 622271.

It is an arithmetic number, because the mean of its divisors is an integer number (51206311).

Almost surely, 2^414211041 is an apocalyptic number.

It is an amenable number.

414211041 is a deficient number, since it is larger than the sum of its proper divisors (200264691).

414211041 is a wasteful number, since it uses less digits than its factorization.

414211041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243920 (or 1243917 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 414211041 is about 20352.1753382777. The cubic root of 414211041 is about 745.4306121293.

Adding to 414211041 its reverse (140112414), we get a palindrome (554323455).

The spelling of 414211041 in words is "four hundred fourteen million, two hundred eleven thousand, forty-one".