12091690440 has 192 divisors, whose sum is σ = 41433724800. Its totient is φ = 3049767936.

The previous prime is 12091690427. The next prime is 12091690469. The reversal of 12091690440 is 4409619021.

It is a happy number.

12091690440 is a `hidden beast` number, since 1 + 209 + 1 + 6 + 9 + 0 + 440 = 666.

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 = 12091690395 and 12091690404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6066084 + ... + 6068076.

It is an arithmetic number, because the mean of its divisors is an integer number (215800650).

Almost surely, 2^12091690440 is an apocalyptic number.

12091690440 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 12091690440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20716862400).

12091690440 is an abundant number, since it is smaller than the sum of its proper divisors (29342034360).

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

12091690440 is a wasteful number, since it uses less digits than its factorization.

12091690440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12091690440 in words is "twelve billion, ninety-one million, six hundred ninety thousand, four hundred forty".