412332141233214 has 96 divisors (see below), whose sum is σ = 919099296648000. Its totient is φ = 133500946521600.

The previous prime is 412332141233203. The next prime is 412332141233249.

412332141233214 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 3 + 21 + 412 + 3 + 3 + 214 = 666.

412332141233214 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3673314162 + ... + 3673426410.

It is an arithmetic number, because the mean of its divisors is an integer number (9573951006750).

Almost surely, 2^{412332141233214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412332141233214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459549648324000).

412332141233214 is an abundant number, since it is smaller than the sum of its proper divisors (506767155414786).

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

412332141233214 is a wasteful number, since it uses less digits than its factorization.

412332141233214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121666 (or 121663 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 412332141233214 in words is "four hundred twelve trillion, three hundred thirty-two billion, one hundred forty-one million, two hundred thirty-three thousand, two hundred fourteen".