14232440309984 has 288 divisors, whose sum is σ = 31957723929600. Its totient is φ = 6224529991680.

The previous prime is 14232440309959. The next prime is 14232440309999. The reversal of 14232440309984 is 48990304423241.

14232440309984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6272559602 + ... + 6272561870.

It is an arithmetic number, because the mean of its divisors is an integer number (110964319200).

Almost surely, 2^{14232440309984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14232440309984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15978861964800).

14232440309984 is an abundant number, since it is smaller than the sum of its proper divisors (17725283619616).

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

14232440309984 is a wasteful number, since it uses less digits than its factorization.

14232440309984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 53.

The spelling of 14232440309984 in words is "fourteen trillion, two hundred thirty-two billion, four hundred forty million, three hundred nine thousand, nine hundred eighty-four".