414142212141 has 24 divisors (see below), whose sum is σ = 683698055040. Its totient is φ = 236640674016.

The previous prime is 414142212137. The next prime is 414142212221. The reversal of 414142212141 is 141212241414.

414142212141 is a `hidden beast` number, since 4 + 1 + 414 + 221 + 21 + 4 + 1 = 666.

It is not a de Polignac number, because 414142212141 - 2² = 414142212137 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414142212131) 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 23 ways as a sum of consecutive naturals, for example, 1167400 + ... + 1480238.

It is an arithmetic number, because the mean of its divisors is an integer number (28487418960).

Almost surely, 2^414142212141 is an apocalyptic number.

It is an amenable number.

414142212141 is a deficient number, since it is larger than the sum of its proper divisors (269555842899).

414142212141 is a wasteful number, since it uses less digits than its factorization.

414142212141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333865 (or 333862 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

Adding to 414142212141 its reverse (141212241414), we get a palindrome (555354453555).

The spelling of 414142212141 in words is "four hundred fourteen billion, one hundred forty-two million, two hundred twelve thousand, one hundred forty-one".