12432625744 has 240 divisors, whose sum is σ = 32101159680. Its totient is φ = 4607124480.

The previous prime is 12432625739. The next prime is 12432625801. The reversal of 12432625744 is 44752623421.

It is a junction number, because it is equal to n+sod(n) for n = 12432625697 and 12432625706.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14996722 + ... + 14997550.

It is an arithmetic number, because the mean of its divisors is an integer number (133754832).

Almost surely, 2^12432625744 is an apocalyptic number.

12432625744 is a gapful number since it is divisible by the number (14) 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 12432625744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16050579840).

12432625744 is an abundant number, since it is smaller than the sum of its proper divisors (19668533936).

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

12432625744 is a wasteful number, since it uses less digits than its factorization.

12432625744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 933 counting only the distinct ones).

The product of its digits is 322560, while the sum is 40.

The spelling of 12432625744 in words is "twelve billion, four hundred thirty-two million, six hundred twenty-five thousand, seven hundred forty-four".