12406540240 has 40 divisors (see below), whose sum is σ = 28857394080. Its totient is φ = 4960519296.

The previous prime is 12406540231. The next prime is 12406540243. The reversal of 12406540240 is 4204560421.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12406540199 and 12406540208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12406540243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165187 + ... + 228253.

It is an arithmetic number, because the mean of its divisors is an integer number (721434852).

Almost surely, 2^12406540240 is an apocalyptic number.

12406540240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12406540240 is an abundant number, since it is smaller than the sum of its proper divisors (16450853840).

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

12406540240 is a wasteful number, since it uses less digits than its factorization.

12406540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65539 (or 65533 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 12406540240 in words is "twelve billion, four hundred six million, five hundred forty thousand, two hundred forty".