4116311340 has 96 divisors (see below), whose sum is σ = 11656673280. Its totient is φ = 1085280000.

The previous prime is 4116311323. The next prime is 4116311363. The reversal of 4116311340 is 431136114.

It is a self number, because there is not a number n which added to its sum of digits gives 4116311340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2164390 + ... + 2166290.

It is an arithmetic number, because the mean of its divisors is an integer number (121423680).

Almost surely, 2^4116311340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4116311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828336640).

4116311340 is an abundant number, since it is smaller than the sum of its proper divisors (7540361940).

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

4116311340 is a wasteful number, since it uses less digits than its factorization.

4116311340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4116311340 is about 64158.4861105684. The cubic root of 4116311340 is about 1602.6403461899.

Adding to 4116311340 its reverse (431136114), we get a palindrome (4547447454).

The spelling of 4116311340 in words is "four billion, one hundred sixteen million, three hundred eleven thousand, three hundred forty".