14444142240 has 192 divisors, whose sum is σ = 49729075200. Its totient is φ = 3494999040.

The previous prime is 14444142239. The next prime is 14444142269. The reversal of 14444142240 is 4224144441.

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 = 14444142198 and 14444142207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3160437 + ... + 3165003.

It is an arithmetic number, because the mean of its divisors is an integer number (259005600).

Almost surely, 2^14444142240 is an apocalyptic number.

14444142240 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 14444142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24864537600).

14444142240 is an abundant number, since it is smaller than the sum of its proper divisors (35284932960).

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

14444142240 is a wasteful number, since it uses less digits than its factorization.

14444142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5195 (or 5187 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 14444142240 its reverse (4224144441), we get a palindrome (18668286681).

It can be divided in two parts, 144441 and 42240, that added together give a palindrome (186681).

The spelling of 14444142240 in words is "fourteen billion, four hundred forty-four million, one hundred forty-two thousand, two hundred forty".