11340330240 has 144 divisors (see below), whose sum is σ = 36262195200. Its totient is φ = 3020414976.

The previous prime is 11340330229. The next prime is 11340330241. The reversal of 11340330240 is 4203304311.

11340330240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11340330241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4910206 + ... + 4912514.

It is an arithmetic number, because the mean of its divisors is an integer number (251820800).

Almost surely, 2^11340330240 is an apocalyptic number.

11340330240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11340330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18131097600).

11340330240 is an abundant number, since it is smaller than the sum of its proper divisors (24921864960).

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

11340330240 is a wasteful number, since it uses less digits than its factorization.

11340330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 11340330240 its reverse (4203304311), we get a palindrome (15543634551).

The spelling of 11340330240 in words is "eleven billion, three hundred forty million, three hundred thirty thousand, two hundred forty".