12322345403440 has 80 divisors (see below), whose sum is σ = 29372226682176. Its totient is φ = 4804786688000.

The previous prime is 12322345403419. The next prime is 12322345403447. The reversal of 12322345403440 is 4430454322321.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12322345403440.

It is not an unprimeable number, because it can be changed into a prime (12322345403447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2475540 + ... + 5547340.

Almost surely, 2^{12322345403440} is an apocalyptic number.

12322345403440 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 12322345403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14686113341088).

12322345403440 is an abundant number, since it is smaller than the sum of its proper divisors (17049881278736).

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

12322345403440 is a wasteful number, since it uses less digits than its factorization.

12322345403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073078 (or 3073072 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 37.

Adding to 12322345403440 its reverse (4430454322321), we get a palindrome (16752799725761).

The spelling of 12322345403440 in words is "twelve trillion, three hundred twenty-two billion, three hundred forty-five million, four hundred three thousand, four hundred forty".