12742526340 has 168 divisors, whose sum is σ = 41505450840. Its totient is φ = 3280725504.

The previous prime is 12742526267. The next prime is 12742526353. The reversal of 12742526340 is 4362524721.

12742526340 is a `hidden beast` number, since 1 + 274 + 25 + 26 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90326016 + 12652200324 = 9504^2 + 112482^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12742526295 and 12742526304.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 407752 + ... + 437888.

It is an arithmetic number, because the mean of its divisors is an integer number (247056255).

Almost surely, 2^12742526340 is an apocalyptic number.

12742526340 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 12742526340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20752725420).

12742526340 is an abundant number, since it is smaller than the sum of its proper divisors (28762924500).

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

12742526340 is a wasteful number, since it uses less digits than its factorization.

12742526340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30193 (or 30176 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 12742526340 in words is "twelve billion, seven hundred forty-two million, five hundred twenty-six thousand, three hundred forty".