12441727142460 has 1728 divisors, whose sum is σ = 52031761367040. Its totient is φ = 2436031065600.

The previous prime is 12441727142459. The next prime is 12441727142477. The reversal of 12441727142460 is 6424172714421.

12441727142460 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 172 + 7 + 14 + 2 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 575 ways as a sum of consecutive naturals, for example, 21195446287 + ... + 21195446873.

Almost surely, 2^{12441727142460} is an apocalyptic number.

12441727142460 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 12441727142460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26015880683520).

12441727142460 is an abundant number, since it is smaller than the sum of its proper divisors (39590034224580).

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

12441727142460 is a wasteful number, since it uses less digits than its factorization.

12441727142460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

Adding to 12441727142460 its reverse (6424172714421), we get a palindrome (18865899856881).

The spelling of 12441727142460 in words is "twelve trillion, four hundred forty-one billion, seven hundred twenty-seven million, one hundred forty-two thousand, four hundred sixty".