412314141413214 has 384 divisors, whose sum is σ = 980663408524800. Its totient is φ = 124766853120000.

The previous prime is 412314141413203. The next prime is 412314141413227.

412314141413214 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 1 + 414 + 14 + 13 + 214 = 666.

412314141413214 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 180760253754 + ... + 180760256034.

It is an arithmetic number, because the mean of its divisors is an integer number (2553810959700).

Almost surely, 2^{412314141413214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412314141413214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490331704262400).

412314141413214 is an abundant number, since it is smaller than the sum of its proper divisors (568349267111586).

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

412314141413214 is a wasteful number, since it uses less digits than its factorization.

412314141413214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3509 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 412314141413214 in words is "four hundred twelve trillion, three hundred fourteen billion, one hundred forty-one million, four hundred thirteen thousand, two hundred fourteen".