14440124000 has 96 divisors (see below), whose sum is σ = 35554873536. Its totient is φ = 5763763200.

The previous prime is 14440123993. The next prime is 14440124009. The reversal of 14440124000 is 42104441.

It is a happy number.

14440124000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14440124000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14440124009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2008412 + ... + 2015588.

It is an arithmetic number, because the mean of its divisors is an integer number (370363266).

Almost surely, 2^14440124000 is an apocalyptic number.

14440124000 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 14440124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17777436768).

14440124000 is an abundant number, since it is smaller than the sum of its proper divisors (21114749536).

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

14440124000 is an equidigital number, since it uses as much as digits as its factorization.

14440124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7705 (or 7687 counting only the distinct ones).

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

Adding to 14440124000 its reverse (42104441), we get a palindrome (14482228441).

The spelling of 14440124000 in words is "fourteen billion, four hundred forty million, one hundred twenty-four thousand".