12442728105408 has 168 divisors, whose sum is σ = 34559045740800. Its totient is φ = 3950639576576.

The previous prime is 12442728105377. The next prime is 12442728105427. The reversal of 12442728105408 is 80450182724421.

It is a super-2 number, since 2×12442728105408² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 24018463 + ... + 24531041.

It is an arithmetic number, because the mean of its divisors is an integer number (205708605600).

Almost surely, 2^{12442728105408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12442728105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17279522870400).

12442728105408 is an abundant number, since it is smaller than the sum of its proper divisors (22116317635392).

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

12442728105408 is a wasteful number, since it uses less digits than its factorization.

12442728105408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512879 (or 512846 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The spelling of 12442728105408 in words is "twelve trillion, four hundred forty-two billion, seven hundred twenty-eight million, one hundred five thousand, four hundred eight".