12004432440 has 768 divisors, whose sum is σ = 50376453120. Its totient is φ = 2209628160.

The previous prime is 12004432417. The next prime is 12004432441. The reversal of 12004432440 is 4423440021.

It is a happy number.

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 12004432440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004432441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 164444244 + ... + 164444316.

It is an arithmetic number, because the mean of its divisors is an integer number (65594340).

Almost surely, 2^12004432440 is an apocalyptic number.

12004432440 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 12004432440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25188226560).

12004432440 is an abundant number, since it is smaller than the sum of its proper divisors (38372020680).

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

12004432440 is a wasteful number, since it uses less digits than its factorization.

12004432440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 12004432440 its reverse (4423440021), we get a palindrome (16427872461).

It can be divided in two parts, 12004 and 432440, that added together give a palindrome (444444).

The spelling of 12004432440 in words is "twelve billion, four million, four hundred thirty-two thousand, four hundred forty".