14432145240 has 128 divisors (see below), whose sum is σ = 46818984960. Its totient is φ = 3545094144.

The previous prime is 14432145173. The next prime is 14432145269. The reversal of 14432145240 is 4254123441.

14432145240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14432145198 and 14432145207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20619 + ... + 171141.

It is an arithmetic number, because the mean of its divisors is an integer number (365773320).

Almost surely, 2^14432145240 is an apocalyptic number.

14432145240 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 14432145240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23409492480).

14432145240 is an abundant number, since it is smaller than the sum of its proper divisors (32386839720).

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

14432145240 is a wasteful number, since it uses less digits than its factorization.

14432145240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150601 (or 150597 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 14432145240 its reverse (4254123441), we get a palindrome (18686268681).

The spelling of 14432145240 in words is "fourteen billion, four hundred thirty-two million, one hundred forty-five thousand, two hundred forty".