11310232240 has 80 divisors (see below), whose sum is σ = 26636920128. Its totient is φ = 4465778688.

The previous prime is 11310232217. The next prime is 11310232247. The reversal of 11310232240 is 4223201311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11310232247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2774844 + ... + 2778916.

Almost surely, 2^11310232240 is an apocalyptic number.

11310232240 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 11310232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13318460064).

11310232240 is an abundant number, since it is smaller than the sum of its proper divisors (15326687888).

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

11310232240 is a wasteful number, since it uses less digits than its factorization.

11310232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 11310232240 its reverse (4223201311), we get a palindrome (15533433551).

The spelling of 11310232240 in words is "eleven billion, three hundred ten million, two hundred thirty-two thousand, two hundred forty".