12481724989440 has 600 divisors, whose sum is σ = 51140681599392. Its totient is φ = 2852955095040.

The previous prime is 12481724989417. The next prime is 12481724989441. The reversal of 12481724989440 is 4498942718421.

12481724989440 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 1 + 72 + 49 + 89 + 440 = 666.

It is a super-2 number, since 2×12481724989440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (12481724989441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46314280 + ... + 46583000.

Almost surely, 2^{12481724989440} is an apocalyptic number.

12481724989440 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 12481724989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25570340799696).

12481724989440 is an abundant number, since it is smaller than the sum of its proper divisors (38658956609952).

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

12481724989440 is an frugal number, since it uses more digits than its factorization.

12481724989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268773 (or 268738 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 12481724989440 in words is "twelve trillion, four hundred eighty-one billion, seven hundred twenty-four million, nine hundred eighty-nine thousand, four hundred forty".