12742427181440 has 256 divisors, whose sum is σ = 33803345088000. Its totient is φ = 4554210017280.

The previous prime is 12742427181427. The next prime is 12742427181493. The reversal of 12742427181440 is 4418172424721.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211754237 + ... + 211814403.

It is an arithmetic number, because the mean of its divisors is an integer number (132044316750).

Almost surely, 2^{12742427181440} is an apocalyptic number.

12742427181440 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 12742427181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16901672544000).

12742427181440 is an abundant number, since it is smaller than the sum of its proper divisors (21060917906560).

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

12742427181440 is a wasteful number, since it uses less digits than its factorization.

12742427181440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60713 (or 60701 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 47.

The spelling of 12742427181440 in words is "twelve trillion, seven hundred forty-two billion, four hundred twenty-seven million, one hundred eighty-one thousand, four hundred forty".