12609073440 has 96 divisors (see below), whose sum is σ = 44131772160. Its totient is φ = 3362418432.

The previous prime is 12609073423. The next prime is 12609073447. The reversal of 12609073440 is 4437090621.

12609073440 is a `hidden beast` number, since 1 + 2 + 60 + 90 + 73 + 440 = 666.

12609073440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 12609073395 and 12609073404.

It is not an unprimeable number, because it can be changed into a prime (12609073447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1455064 + ... + 1463703.

It is an arithmetic number, because the mean of its divisors is an integer number (459705960).

Almost surely, 2^12609073440 is an apocalyptic number.

12609073440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12609073440 is an abundant number, since it is smaller than the sum of its proper divisors (31522698720).

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

12609073440 is a wasteful number, since it uses less digits than its factorization.

12609073440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918791 (or 2918777 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12609073440 in words is "twelve billion, six hundred nine million, seventy-three thousand, four hundred forty".