12742410240 has 480 divisors, whose sum is σ = 51840015360. Its totient is φ = 2909011968.

The previous prime is 12742410229. The next prime is 12742410259. The reversal of 12742410240 is 4201424721.

12742410240 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 2 + 410 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15482469 + ... + 15483291.

It is an arithmetic number, because the mean of its divisors is an integer number (108000032).

Almost surely, 2^12742410240 is an apocalyptic number.

12742410240 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 12742410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920007680).

12742410240 is an abundant number, since it is smaller than the sum of its proper divisors (39097605120).

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

12742410240 is an frugal number, since it uses more digits than its factorization.

12742410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 12742410240 its reverse (4201424721), we get a palindrome (16943834961).

The spelling of 12742410240 in words is "twelve billion, seven hundred forty-two million, four hundred ten thousand, two hundred forty".