414213041 has 16 divisors (see below), whose sum is σ = 493890048. Its totient is φ = 342969600.

The previous prime is 414213013. The next prime is 414213043. The reversal of 414213041 is 140312414.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414213041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414213043) 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 15 ways as a sum of consecutive naturals, for example, 29930 + ... + 41523.

It is an arithmetic number, because the mean of its divisors is an integer number (30868128).

Almost surely, 2^414213041 is an apocalyptic number.

It is an amenable number.

414213041 is a deficient number, since it is larger than the sum of its proper divisors (79677007).

414213041 is a wasteful number, since it uses less digits than its factorization.

414213041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71512.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 414213041 is about 20352.2244730152. The cubic root of 414213041 is about 745.4318118872.

Adding to 414213041 its reverse (140312414), we get a palindrome (554525455).

The spelling of 414213041 in words is "four hundred fourteen million, two hundred thirteen thousand, forty-one".