12074689440 has 384 divisors, whose sum is σ = 46687415040. Its totient is φ = 2926264320.

The previous prime is 12074689423. The next prime is 12074689453. The reversal of 12074689440 is 4498647021.

12074689440 is a `hidden beast` number, since 120 + 7 + 4 + 6 + 89 + 440 = 666.

12074689440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 3847552 + ... + 3850688.

It is an arithmetic number, because the mean of its divisors is an integer number (121581810).

Almost surely, 2^12074689440 is an apocalyptic number.

12074689440 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 12074689440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23343707520).

12074689440 is an abundant number, since it is smaller than the sum of its proper divisors (34612725600).

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

12074689440 is an equidigital number, since it uses as much as digits as its factorization.

12074689440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12074689440 in words is "twelve billion, seventy-four million, six hundred eighty-nine thousand, four hundred forty".