12424045416640 has 672 divisors, whose sum is σ = 36953866656000. Its totient is φ = 3920930365440.

The previous prime is 12424045416599. The next prime is 12424045416649. The reversal of 12424045416640 is 4661454042421.

It is not an unprimeable number, because it can be changed into a prime (12424045416649) 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 95 ways as a sum of consecutive naturals, for example, 1428211011 + ... + 1428219709.

It is an arithmetic number, because the mean of its divisors is an integer number (54990873000).

Almost surely, 2^{12424045416640} is an apocalyptic number.

12424045416640 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 12424045416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18476933328000).

12424045416640 is an abundant number, since it is smaller than the sum of its proper divisors (24529821239360).

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

12424045416640 is a wasteful number, since it uses less digits than its factorization.

12424045416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8845 (or 8812 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 43.

The spelling of 12424045416640 in words is "twelve trillion, four hundred twenty-four billion, forty-five million, four hundred sixteen thousand, six hundred forty".