414131241 has 32 divisors (see below), whose sum is σ = 579944448. Its totient is φ = 262641600.

The previous prime is 414131227. The next prime is 414131251. The reversal of 414131241 is 142131414.

It is a de Polignac number, because none of the positive numbers 2^k-414131241 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414131251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1128240 + ... + 1128606.

It is an arithmetic number, because the mean of its divisors is an integer number (18123264).

Almost surely, 2^414131241 is an apocalyptic number.

It is an amenable number.

414131241 is a deficient number, since it is larger than the sum of its proper divisors (165813207).

414131241 is a wasteful number, since it uses less digits than its factorization.

414131241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621.

The product of its digits is 384, while the sum is 21.

The square root of 414131241 is about 20350.2147654515. The cubic root of 414131241 is about 745.3827386402.

Adding to 414131241 its reverse (142131414), we get a palindrome (556262655).

The spelling of 414131241 in words is "four hundred fourteen million, one hundred thirty-one thousand, two hundred forty-one".