413322431214 has 128 divisors (see below), whose sum is σ = 1060269170688. Its totient is φ = 104307615360.

The previous prime is 413322431177. The next prime is 413322431219. The reversal of 413322431214 is 412134223314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413322431219) 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, 2440117 + ... + 2603999.

It is an arithmetic number, because the mean of its divisors is an integer number (8283352896).

Almost surely, 2^413322431214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413322431214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530134585344).

413322431214 is an abundant number, since it is smaller than the sum of its proper divisors (646946739474).

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

413322431214 is a wasteful number, since it uses less digits than its factorization.

413322431214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164062.

The product of its digits is 13824, while the sum is 30.

Adding to 413322431214 its reverse (412134223314), we get a palindrome (825456654528).

The spelling of 413322431214 in words is "four hundred thirteen billion, three hundred twenty-two million, four hundred thirty-one thousand, two hundred fourteen".