12443957760 has 320 divisors, whose sum is σ = 43260231168. Its totient is φ = 3033268224.

The previous prime is 12443957753. The next prime is 12443957777. The reversal of 12443957760 is 6775934421.

12443957760 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 (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 11281369 + ... + 11282471.

Almost surely, 2^12443957760 is an apocalyptic number.

12443957760 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 12443957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21630115584).

12443957760 is an abundant number, since it is smaller than the sum of its proper divisors (30816273408).

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

12443957760 is a wasteful number, since it uses less digits than its factorization.

12443957760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 12443957760 in words is "twelve billion, four hundred forty-three million, nine hundred fifty-seven thousand, seven hundred sixty".