413241142314 has 512 divisors, whose sum is σ = 1213225574400. Its totient is φ = 90296156160.

The previous prime is 413241142297. The next prime is 413241142319.

It is a happy number.

413241142314 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (413241142319) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 409554642 + ... + 409555650.

It is an arithmetic number, because the mean of its divisors is an integer number (2369581200).

Almost surely, 2^413241142314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413241142314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606612787200).

413241142314 is an abundant number, since it is smaller than the sum of its proper divisors (799984432086).

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

413241142314 is a wasteful number, since it uses less digits than its factorization.

413241142314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 413241 and 142314, that added together give a palindrome (555555).

The spelling of 413241142314 in words is "four hundred thirteen billion, two hundred forty-one million, one hundred forty-two thousand, three hundred fourteen".