414112041 has 16 divisors (see below), whose sum is σ = 701142400. Its totient is φ = 236635344.

The previous prime is 414112031. The next prime is 414112063. The reversal of 414112041 is 140211414.

It is not a de Polignac number, because 414112041 - 2⁶ = 414111977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1095346 + ... + 1095723.

It is an arithmetic number, because the mean of its divisors is an integer number (43821400).

Almost surely, 2^414112041 is an apocalyptic number.

It is an amenable number.

414112041 is a deficient number, since it is larger than the sum of its proper divisors (287030359).

414112041 is a wasteful number, since it uses less digits than its factorization.

414112041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191085 (or 2191079 counting only the distinct ones).

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

The square root of 414112041 is about 20349.7430204905. The cubic root of 414112041 is about 745.3712192889.

Adding to 414112041 its reverse (140211414), we get a palindrome (554323455).

The spelling of 414112041 in words is "four hundred fourteen million, one hundred twelve thousand, forty-one".