12324234401440 has 192 divisors, whose sum is σ = 31598777548800. Its totient is φ = 4515272847360.

The previous prime is 12324234401419. The next prime is 12324234401449. The reversal of 12324234401440 is 4410443242321.

12324234401440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12324234401396 and 12324234401405.

It is not an unprimeable number, because it can be changed into a prime (12324234401449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307110657 + ... + 307150783.

It is an arithmetic number, because the mean of its divisors is an integer number (164576966400).

Almost surely, 2^{12324234401440} is an apocalyptic number.

12324234401440 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 12324234401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15799388774400).

12324234401440 is an abundant number, since it is smaller than the sum of its proper divisors (19274543147360).

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

12324234401440 is a wasteful number, since it uses less digits than its factorization.

12324234401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41295 (or 41287 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 12324234401440 its reverse (4410443242321), we get a palindrome (16734677643761).

The spelling of 12324234401440 in words is "twelve trillion, three hundred twenty-four billion, two hundred thirty-four million, four hundred one thousand, four hundred forty".