414341411211 has 64 divisors (see below), whose sum is σ = 767879741440. Its totient is φ = 214970785920.

The previous prime is 414341411177. The next prime is 414341411221. The reversal of 414341411211 is 112114143414.

414341411211 is a `hidden beast` number, since 4 + 1 + 4 + 34 + 1 + 411 + 211 = 666.

It is not a de Polignac number, because 414341411211 - 2¹⁰ = 414341410187 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (414341411221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1232395 + ... + 1532148.

It is an arithmetic number, because the mean of its divisors is an integer number (11998120960).

Almost surely, 2^414341411211 is an apocalyptic number.

414341411211 is a deficient number, since it is larger than the sum of its proper divisors (353538330229).

414341411211 is a wasteful number, since it uses less digits than its factorization.

414341411211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764633 (or 2764627 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 414341411211 its reverse (112114143414), we get a palindrome (526455554625).

The spelling of 414341411211 in words is "four hundred fourteen billion, three hundred forty-one million, four hundred eleven thousand, two hundred eleven".