14424323441000 has 128 divisors (see below), whose sum is σ = 36831867696000. Its totient is φ = 5243712256000.

The previous prime is 14424323440979. The next prime is 14424323441029. The reversal of 14424323441000 is 14432342441.

It is a super-2 number, since 2×14424323441000² (a number of 27 digits) contains 22 as substring.

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, 38743736 + ... + 39114264.

It is an arithmetic number, because the mean of its divisors is an integer number (287748966375).

Almost surely, 2^{14424323441000} is an apocalyptic number.

14424323441000 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 14424323441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18415933848000).

14424323441000 is an abundant number, since it is smaller than the sum of its proper divisors (22407544255000).

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

14424323441000 is a wasteful number, since it uses less digits than its factorization.

14424323441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374100 (or 374086 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 14424323441000 its reverse (14432342441), we get a palindrome (14438755783441).

The spelling of 14424323441000 in words is "fourteen trillion, four hundred twenty-four billion, three hundred twenty-three million, four hundred forty-one thousand".