12168973440 has 576 divisors, whose sum is σ = 47289191040. Its totient is φ = 2988969984.

The previous prime is 12168973381. The next prime is 12168973441. The reversal of 12168973440 is 4437986121.

12168973440 is a `hidden beast` number, since 1 + 216 + 8 + 97 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12168973441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26282649 + ... + 26283111.

It is an arithmetic number, because the mean of its divisors is an integer number (82099290).

Almost surely, 2^12168973440 is an apocalyptic number.

12168973440 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 12168973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23644595520).

12168973440 is an abundant number, since it is smaller than the sum of its proper divisors (35120217600).

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

12168973440 is an equidigital number, since it uses as much as digits as its factorization.

12168973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12168973440 in words is "twelve billion, one hundred sixty-eight million, nine hundred seventy-three thousand, four hundred forty".