12033340440 has 256 divisors, whose sum is σ = 40786053120. Its totient is φ = 2814935040.

The previous prime is 12033340421. The next prime is 12033340481. The reversal of 12033340440 is 4404333021.

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 12033340440.

It is a congruent number.

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, 4527592 + ... + 4530248.

It is an arithmetic number, because the mean of its divisors is an integer number (159320520).

Almost surely, 2^12033340440 is an apocalyptic number.

12033340440 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 12033340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20393026560).

12033340440 is an abundant number, since it is smaller than the sum of its proper divisors (28752712680).

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

12033340440 is a wasteful number, since it uses less digits than its factorization.

12033340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12033340440 its reverse (4404333021), we get a palindrome (16437673461).

The spelling of 12033340440 in words is "twelve billion, thirty-three million, three hundred forty thousand, four hundred forty".