12444373370880 has 768 divisors, whose sum is σ = 50797393920000. Its totient is φ = 2858024632320.

The previous prime is 12444373370867. The next prime is 12444373370887. The reversal of 12444373370880 is 8807337344421.

12444373370880 is a `hidden beast` number, since 1 + 24 + 443 + 7 + 33 + 70 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12444373370887) 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 63 ways as a sum of consecutive naturals, for example, 57676641 + ... + 57891999.

It is an arithmetic number, because the mean of its divisors is an integer number (66142440000).

Almost surely, 2^{12444373370880} is an apocalyptic number.

12444373370880 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 12444373370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25398696960000).

12444373370880 is an abundant number, since it is smaller than the sum of its proper divisors (38353020549120).

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

12444373370880 is a wasteful number, since it uses less digits than its factorization.

12444373370880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215425 (or 215399 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 12444373370880 in words is "twelve trillion, four hundred forty-four billion, three hundred seventy-three million, three hundred seventy thousand, eight hundred eighty".