12442728105407 has 16 divisors (see below), whose sum is σ = 13424202109440. Its totient is φ = 11489013699072.

The previous prime is 12442728105377. The next prime is 12442728105427. The reversal of 12442728105407 is 70450182724421.

12442728105407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12442728105407 - 2¹⁰ = 12442728104383 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442728105427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12147938 + ... + 13132320.

It is an arithmetic number, because the mean of its divisors is an integer number (839012631840).

Almost surely, 2^{12442728105407} is an apocalyptic number.

12442728105407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12442728105407 is a deficient number, since it is larger than the sum of its proper divisors (981474004033).

12442728105407 is a wasteful number, since it uses less digits than its factorization.

12442728105407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998482.

The product of its (nonzero) digits is 1003520, while the sum is 47.

The spelling of 12442728105407 in words is "twelve trillion, four hundred forty-two billion, seven hundred twenty-eight million, one hundred five thousand, four hundred seven".