12741442560 has 1584 divisors, whose sum is σ = 61158464640. Its totient is φ = 2508226560.

The previous prime is 12741442543. The next prime is 12741442573. The reversal of 12741442560 is 6524414721.

12741442560 is a `hidden beast` number, since 12 + 7 + 41 + 4 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 670602231 + ... + 670602249.

Almost surely, 2^12741442560 is an apocalyptic number.

12741442560 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 12741442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30579232320).

12741442560 is an abundant number, since it is smaller than the sum of its proper divisors (48417022080).

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

12741442560 is a wasteful number, since it uses less digits than its factorization.

12741442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 12741442560 in words is "twelve billion, seven hundred forty-one million, four hundred forty-two thousand, five hundred sixty".