12544411444520 has 512 divisors, whose sum is σ = 33441826406400. Its totient is φ = 4204514721792.

The previous prime is 12544411444519. The next prime is 12544411444547. The reversal of 12544411444520 is 2544411444521.

It is a super-4 number, since 4×12544411444520⁴ (a number of 53 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1428256049 + ... + 1428264831.

It is an arithmetic number, because the mean of its divisors is an integer number (65316067200).

Almost surely, 2^{12544411444520} is an apocalyptic number.

12544411444520 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 12544411444520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16720913203200).

12544411444520 is an abundant number, since it is smaller than the sum of its proper divisors (20897414961880).

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

12544411444520 is a wasteful number, since it uses less digits than its factorization.

12544411444520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8977 (or 8973 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 41.

Subtracting from 12544411444520 its reverse (2544411444521), we obtain a palindrome (9999999999999).

The spelling of 12544411444520 in words is "twelve trillion, five hundred forty-four billion, four hundred eleven million, four hundred forty-four thousand, five hundred twenty".