12442728105409 has 24 divisors (see below), whose sum is σ = 14716176539688. Its totient is φ = 10487004272640.

The previous prime is 12442728105377. The next prime is 12442728105427. The reversal of 12442728105409 is 90450182724421.

It can be written as a sum of positive squares in 4 ways, for example, as 2347492815409 + 10095235290000 = 1532153^2 + 3177300^2 .

It is not a de Polignac number, because 12442728105409 - 2⁵ = 12442728105377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12442428105409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8712987 + ... + 10039999.

It is an arithmetic number, because the mean of its divisors is an integer number (613174022487).

Almost surely, 2^{12442728105409} is an apocalyptic number.

It is an amenable number.

12442728105409 is a deficient number, since it is larger than the sum of its proper divisors (2273448434279).

12442728105409 is a wasteful number, since it uses less digits than its factorization.

12442728105409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330225 (or 1330218 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The spelling of 12442728105409 in words is "twelve trillion, four hundred forty-two billion, seven hundred twenty-eight million, one hundred five thousand, four hundred nine".