14142240 has 288 divisors, whose sum is σ = 58496256. Its totient is φ = 3041280.

The previous prime is 14142229. The next prime is 14142269. The reversal of 14142240 is 4224141.

14142240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 305 × 207 × 224.

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, 231810 + ... + 231870.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

Almost surely, 2^14142240 is an apocalyptic number.

14142240 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 14142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29248128).

14142240 is an abundant number, since it is smaller than the sum of its proper divisors (44354016).

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

14142240 is a wasteful number, since it uses less digits than its factorization.

14142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 14142240 is about 3760.6169706579. The cubic root of 14142240 is about 241.8277124471.

Adding to 14142240 its reverse (4224141), we get a palindrome (18366381).

The spelling of 14142240 in words is "fourteen million, one hundred forty-two thousand, two hundred forty".