12480985440 has 864 divisors, whose sum is σ = 55631197440. Its totient is φ = 2586608640.

The previous prime is 12480985369. The next prime is 12480985453. The reversal of 12480985440 is 4458908421.

12480985440 is a `hidden beast` number, since 1 + 24 + 80 + 9 + 8 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 32931171 + ... + 32931549.

It is an arithmetic number, because the mean of its divisors is an integer number (64387960).

Almost surely, 2^12480985440 is an apocalyptic number.

12480985440 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 12480985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27815598720).

12480985440 is an abundant number, since it is smaller than the sum of its proper divisors (43150212000).

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

12480985440 is a wasteful number, since it uses less digits than its factorization.

12480985440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 12480985440 in words is "twelve billion, four hundred eighty million, nine hundred eighty-five thousand, four hundred forty".