11304232440 has 128 divisors (see below), whose sum is σ = 34575552000. Its totient is φ = 2955806208.

The previous prime is 11304232417. The next prime is 11304232447. The reversal of 11304232440 is 4423240311.

11304232440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11304232440³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11304232440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304232447) 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 31 ways as a sum of consecutive naturals, for example, 3106302 + ... + 3109938.

It is an arithmetic number, because the mean of its divisors is an integer number (270121500).

Almost surely, 2^11304232440 is an apocalyptic number.

11304232440 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 11304232440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17287776000).

11304232440 is an abundant number, since it is smaller than the sum of its proper divisors (23271319560).

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

11304232440 is a wasteful number, since it uses less digits than its factorization.

11304232440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4149 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11304232440 its reverse (4423240311), we get a palindrome (15727472751).

The spelling of 11304232440 in words is "eleven billion, three hundred four million, two hundred thirty-two thousand, four hundred forty".