12441076576 has 72 divisors (see below), whose sum is σ = 26108735184. Its totient is φ = 5834246400.

The previous prime is 12441076541. The next prime is 12441076577. The reversal of 12441076576 is 67567014421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12441076577) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1161421 + ... + 1172083.

It is an arithmetic number, because the mean of its divisors is an integer number (362621322).

Almost surely, 2^12441076576 is an apocalyptic number.

12441076576 is a gapful number since it is divisible by the number (16) 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 12441076576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13054367592).

12441076576 is an abundant number, since it is smaller than the sum of its proper divisors (13667658608).

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

12441076576 is a wasteful number, since it uses less digits than its factorization.

12441076576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10812 (or 10785 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 12441076576 in words is "twelve billion, four hundred forty-one million, seventy-six thousand, five hundred seventy-six".