12782144410 has 24 divisors (see below), whose sum is σ = 26764246260. Its totient is φ = 4382449344.

The previous prime is 12782144377. The next prime is 12782144423. The reversal of 12782144410 is 1444128721.

12782144410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10249740081 + 2532404329 = 101241^2 + 50323^2 .

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 11 ways as a sum of consecutive naturals, for example, 13042515 + ... + 13043494.

Almost surely, 2^12782144410 is an apocalyptic number.

12782144410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12782144410 is an abundant number, since it is smaller than the sum of its proper divisors (13982101850).

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

12782144410 is a wasteful number, since it uses less digits than its factorization.

12782144410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26086030 (or 26086023 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The spelling of 12782144410 in words is "twelve billion, seven hundred eighty-two million, one hundred forty-four thousand, four hundred ten".