12760455240 has 192 divisors, whose sum is σ = 44726900400. Its totient is φ = 3136444416.

The previous prime is 12760455229. The next prime is 12760455247. The reversal of 12760455240 is 4255406721.

It is a happy number.

12760455240 is a `hidden beast` number, since 1 + 2 + 7 + 60 + 4 + 552 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3288104964 + 9472350276 = 57342^2 + 97326^2 .

It is a super-3 number, since 3×12760455240³ (a number of 31 digits) contains 333 as substring.

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 = 12760455195 and 12760455204.

It is not an unprimeable number, because it can be changed into a prime (12760455247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4102806 + ... + 4105914.

Almost surely, 2^12760455240 is an apocalyptic number.

12760455240 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 12760455240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22363450200).

12760455240 is an abundant number, since it is smaller than the sum of its proper divisors (31966445160).

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

12760455240 is a wasteful number, since it uses less digits than its factorization.

12760455240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 12760455240 in words is "twelve billion, seven hundred sixty million, four hundred fifty-five thousand, two hundred forty".