12740401618560 has 2304 divisors, whose sum is σ = 57239203956480. Its totient is φ = 2554091274240.

The previous prime is 12740401618481. The next prime is 12740401618591. The reversal of 12740401618560 is 6581610404721.

12740401618560 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 0 + 401 + 6 + 185 + 60 = 666.

12740401618560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 29423560104 + ... + 29423560536.

It is an arithmetic number, because the mean of its divisors is an integer number (24843404495).

Almost surely, 2^{12740401618560} is an apocalyptic number.

12740401618560 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 12740401618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28619601978240).

12740401618560 is an abundant number, since it is smaller than the sum of its proper divisors (44498802337920).

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

12740401618560 is a wasteful number, since it uses less digits than its factorization.

12740401618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12740401618560 in words is "twelve trillion, seven hundred forty billion, four hundred one million, six hundred eighteen thousand, five hundred sixty".