12417750140544 has 768 divisors, whose sum is σ = 43146949824000. Its totient is φ = 3505372028928.

The previous prime is 12417750140533. The next prime is 12417750140569. The reversal of 12417750140544 is 44504105771421.

It is a happy number.

12417750140544 is a `hidden beast` number, since 1 + 2 + 4 + 17 + 7 + 50 + 1 + 40 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12417750140544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8546282922 + ... + 8546284374.

It is an arithmetic number, because the mean of its divisors is an integer number (56180924250).

Almost surely, 2^{12417750140544} is an apocalyptic number.

12417750140544 is a gapful number since it is divisible by the number (14) 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 12417750140544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21573474912000).

12417750140544 is an abundant number, since it is smaller than the sum of its proper divisors (30729199683456).

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

12417750140544 is a wasteful number, since it uses less digits than its factorization.

12417750140544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 12417750140544 in words is "twelve trillion, four hundred seventeen billion, seven hundred fifty million, one hundred forty thousand, five hundred forty-four".