12691045440 has 448 divisors, whose sum is σ = 47673158400. Its totient is φ = 3169124352.

The previous prime is 12691045439. The next prime is 12691045447. The reversal of 12691045440 is 4454019621.

12691045440 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 104 + 544 + 0 = 666.

12691045440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12691045440² (a number of 21 digits) contains 22 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 = 12691045395 and 12691045404.

It is not an unprimeable number, because it can be changed into a prime (12691045447) 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 63 ways as a sum of consecutive naturals, for example, 15923122 + ... + 15923918.

It is an arithmetic number, because the mean of its divisors is an integer number (106413300).

Almost surely, 2^12691045440 is an apocalyptic number.

12691045440 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 12691045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23836579200).

12691045440 is an abundant number, since it is smaller than the sum of its proper divisors (34982112960).

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

12691045440 is a wasteful number, since it uses less digits than its factorization.

12691045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12691045440 in words is "twelve billion, six hundred ninety-one million, forty-five thousand, four hundred forty".