12464983440 has 1440 divisors, whose sum is σ = 59432196096. Its totient is φ = 2269347840.

The previous prime is 12464983393. The next prime is 12464983463. The reversal of 12464983440 is 4438946421.

12464983440 is a `hidden beast` number, since 124 + 6 + 4 + 9 + 83 + 440 = 666.

12464983440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 402096225 + ... + 402096255.

Almost surely, 2^12464983440 is an apocalyptic number.

12464983440 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 12464983440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29716098048).

12464983440 is an abundant number, since it is smaller than the sum of its proper divisors (46967212656).

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

12464983440 is a wasteful number, since it uses less digits than its factorization.

12464983440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 12464983440 in words is "twelve billion, four hundred sixty-four million, nine hundred eighty-three thousand, four hundred forty".