412142242241214 has 48 divisors (see below), whose sum is σ = 905245153379424. Its totient is φ = 135503353464000.

The previous prime is 412142242241189. The next prime is 412142242241227.

412142242241214 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 4 + 224 + 2 + 2 + 412 + 14 = 666.

412142242241214 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×412142242241214² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430512177 + ... + 431468444.

It is an arithmetic number, because the mean of its divisors is an integer number (18859274028738).

Almost surely, 2^{412142242241214} is an apocalyptic number.

412142242241214 is an abundant number, since it is smaller than the sum of its proper divisors (493102911138210).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412142242241214 is a wasteful number, since it uses less digits than its factorization.

412142242241214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861980993 (or 861980990 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The spelling of 412142242241214 in words is "four hundred twelve trillion, one hundred forty-two billion, two hundred forty-two million, two hundred forty-one thousand, two hundred fourteen".