12984481440 has 960 divisors, whose sum is σ = 57139568640. Its totient is φ = 2720977920.

The previous prime is 12984481337. The next prime is 12984481513. The reversal of 12984481440 is 4418448921.

12984481440 is a `hidden beast` number, since 1 + 2 + 98 + 44 + 81 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 418854225 + ... + 418854255.

It is an arithmetic number, because the mean of its divisors is an integer number (59520384).

Almost surely, 2^12984481440 is an apocalyptic number.

12984481440 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 12984481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28569784320).

12984481440 is an abundant number, since it is smaller than the sum of its proper divisors (44155087200).

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

12984481440 is an frugal number, since it uses more digits than its factorization.

12984481440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 12984481440 in words is "twelve billion, nine hundred eighty-four million, four hundred eighty-one thousand, four hundred forty".