12424543040 has 224 divisors, whose sum is σ = 36702699264. Its totient is φ = 3900948480.

The previous prime is 12424543037. The next prime is 12424543067. The reversal of 12424543040 is 4034542421.

12424543040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 12424542994 and 12424543012.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3813092 + ... + 3816348.

It is an arithmetic number, because the mean of its divisors is an integer number (163851336).

Almost surely, 2^12424543040 is an apocalyptic number.

12424543040 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 12424543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18351349632).

12424543040 is an abundant number, since it is smaller than the sum of its proper divisors (24278156224).

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

12424543040 is a wasteful number, since it uses less digits than its factorization.

12424543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The spelling of 12424543040 in words is "twelve billion, four hundred twenty-four million, five hundred forty-three thousand, forty".