412233332214 has 128 divisors (see below), whose sum is σ = 979601817600. Its totient is φ = 114239623680.

The previous prime is 412233332213. The next prime is 412233332243.

It is a happy number.

412233332214 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412233332213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7301907 + ... + 7358145.

It is an arithmetic number, because the mean of its divisors is an integer number (7653139200).

Almost surely, 2^412233332214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412233332214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489800908800).

412233332214 is an abundant number, since it is smaller than the sum of its proper divisors (567368485386).

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

412233332214 is a wasteful number, since it uses less digits than its factorization.

412233332214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56458.

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 412233 and 332214, that added together give a palindrome (744447).

The spelling of 412233332214 in words is "four hundred twelve billion, two hundred thirty-three million, three hundred thirty-two thousand, two hundred fourteen".