12244433140440 has 640 divisors, whose sum is σ = 43993511907840. Its totient is φ = 3047076071424.

The previous prime is 12244433140421. The next prime is 12244433140447. The reversal of 12244433140440 is 4404133444221.

12244433140440 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 44 + 33 + 140 + 440 = 666.

It is a super-2 number, since 2×12244433140440² (a number of 27 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 = 12244433140395 and 12244433140404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12244433140447) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3822799879 + ... + 3822803081.

It is an arithmetic number, because the mean of its divisors is an integer number (68739862356).

Almost surely, 2^{12244433140440} is an apocalyptic number.

12244433140440 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 12244433140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21996755953920).

12244433140440 is an abundant number, since it is smaller than the sum of its proper divisors (31749078767400).

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

12244433140440 is a wasteful number, since it uses less digits than its factorization.

12244433140440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4485 (or 4472 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 12244433140440 its reverse (4404133444221), we get a palindrome (16648566584661).

The spelling of 12244433140440 in words is "twelve trillion, two hundred forty-four billion, four hundred thirty-three million, one hundred forty thousand, four hundred forty".