414241134311 has 8 divisors (see below), whose sum is σ = 418113748800. Its totient is φ = 410369833440.

The previous prime is 414241134289. The next prime is 414241134313. The reversal of 414241134311 is 113431142414.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414241134311 - 2¹⁰ = 414241133287 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414241134313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311021 + ... + 961881.

It is an arithmetic number, because the mean of its divisors is an integer number (52264218600).

Almost surely, 2^414241134311 is an apocalyptic number.

414241134311 is a deficient number, since it is larger than the sum of its proper divisors (3872614489).

414241134311 is a wasteful number, since it uses less digits than its factorization.

414241134311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656809.

The product of its digits is 4608, while the sum is 29.

Adding to 414241134311 its reverse (113431142414), we get a palindrome (527672276725).

The spelling of 414241134311 in words is "four hundred fourteen billion, two hundred forty-one million, one hundred thirty-four thousand, three hundred eleven".