12432251485440 has 720 divisors, whose sum is σ = 47112420313728. Its totient is φ = 3123754647552.

The previous prime is 12432251485421. The next prime is 12432251485447. The reversal of 12432251485440 is 4458415223421.

12432251485440 is a `hidden beast` number, since 1 + 2 + 43 + 2 + 2 + 514 + 8 + 54 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432251485447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 159731974 + ... + 159809786.

Almost surely, 2^{12432251485440} is an apocalyptic number.

12432251485440 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 12432251485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23556210156864).

12432251485440 is an abundant number, since it is smaller than the sum of its proper divisors (34680168828288).

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

12432251485440 is an equidigital number, since it uses as much as digits as its factorization.

12432251485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77936 (or 77913 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 12432251485440 in words is "twelve trillion, four hundred thirty-two billion, two hundred fifty-one million, four hundred eighty-five thousand, four hundred forty".