12320341440 has 224 divisors, whose sum is σ = 44145768960. Its totient is φ = 2883686400.

The previous prime is 12320341421. The next prime is 12320341441. The reversal of 12320341440 is 4414302321.

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 12320341440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320341441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286125 + ... + 326355.

Almost surely, 2^12320341440 is an apocalyptic number.

12320341440 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 12320341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22072884480).

12320341440 is an abundant number, since it is smaller than the sum of its proper divisors (31825427520).

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

12320341440 is a wasteful number, since it uses less digits than its factorization.

12320341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40291 (or 40281 counting only the distinct ones).

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

Adding to 12320341440 its reverse (4414302321), we get a palindrome (16734643761).

The spelling of 12320341440 in words is "twelve billion, three hundred twenty million, three hundred forty-one thousand, four hundred forty".