12424310041344 has 72 divisors (see below), whose sum is σ = 33189708893040. Its totient is φ = 4126040936448.

The previous prime is 12424310041343. The next prime is 12424310041387. The reversal of 12424310041344 is 44314001342421.

It is a happy number.

It is a super-4 number, since 4×12424310041344⁴ (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (12424310041343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29863087 + ... + 30276270.

It is an arithmetic number, because the mean of its divisors is an integer number (460968179070).

Almost surely, 2^{12424310041344} is an apocalyptic number.

It is an amenable number.

12424310041344 is an abundant number, since it is smaller than the sum of its proper divisors (20765398851696).

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

12424310041344 is an equidigital number, since it uses as much as digits as its factorization.

12424310041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60139645 (or 60139631 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 12424310041344 its reverse (44314001342421), we get a palindrome (56738311383765).

The spelling of 12424310041344 in words is "twelve trillion, four hundred twenty-four billion, three hundred ten million, forty-one thousand, three hundred forty-four".