413112211314 has 128 divisors (see below), whose sum is σ = 953030292480. Its totient is φ = 118225632000.

The previous prime is 413112211277. The next prime is 413112211357.

413112211314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16032189 + ... + 16057935.

It is an arithmetic number, because the mean of its divisors is an integer number (7445549160).

Almost surely, 2^413112211314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413112211314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476515146240).

413112211314 is an abundant number, since it is smaller than the sum of its proper divisors (539918081166).

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

413112211314 is a wasteful number, since it uses less digits than its factorization.

413112211314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25976.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 413112 and 211314, that added together give a palindrome (624426).

The spelling of 413112211314 in words is "four hundred thirteen billion, one hundred twelve million, two hundred eleven thousand, three hundred fourteen".