14120444000 has 192 divisors, whose sum is σ = 37513082880. Its totient is φ = 5192755200.

The previous prime is 14120443979. The next prime is 14120444081. The reversal of 14120444000 is 44402141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 19915646 + ... + 19916354.

It is an arithmetic number, because the mean of its divisors is an integer number (195380640).

Almost surely, 2^14120444000 is an apocalyptic number.

14120444000 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 14120444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18756541440).

14120444000 is an abundant number, since it is smaller than the sum of its proper divisors (23392638880).

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

14120444000 is a wasteful number, since it uses less digits than its factorization.

14120444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 14120444000 its reverse (44402141), we get a palindrome (14164846141).

The spelling of 14120444000 in words is "fourteen billion, one hundred twenty million, four hundred forty-four thousand".