14241224000 has 112 divisors (see below), whose sum is σ = 35322814800. Its totient is φ = 5687705600.

The previous prime is 14241223991. The next prime is 14241224021. The reversal of 14241224000 is 42214241.

It can be written as a sum of positive squares in 8 ways, for example, as 74511424 + 14166712576 = 8632^2 + 119024^2 .

It is a super-3 number, since 3×14241224000³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8391152 + ... + 8392848.

It is an arithmetic number, because the mean of its divisors is an integer number (315382275).

Almost surely, 2^14241224000 is an apocalyptic number.

14241224000 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 14241224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17661407400).

14241224000 is an abundant number, since it is smaller than the sum of its proper divisors (21081590800).

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

14241224000 is a wasteful number, since it uses less digits than its factorization.

14241224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2753 counting only the distinct ones).

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

Adding to 14241224000 its reverse (42214241), we get a palindrome (14283438241).

The spelling of 14241224000 in words is "fourteen billion, two hundred forty-one million, two hundred twenty-four thousand".