14234240224000 has 144 divisors (see below), whose sum is σ = 35908129595520. Its totient is φ = 5621622988800.

The previous prime is 14234240223961. The next prime is 14234240224037. The reversal of 14234240224000 is 42204243241.

It is a super-2 number, since 2×14234240224000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14234240224000.

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, 287317 + ... + 5343316.

It is an arithmetic number, because the mean of its divisors is an integer number (249362011080).

Almost surely, 2^{14234240224000} is an apocalyptic number.

14234240224000 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 14234240224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17954064797760).

14234240224000 is an abundant number, since it is smaller than the sum of its proper divisors (21673889371520).

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

14234240224000 is an frugal number, since it uses more digits than its factorization.

14234240224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5630743 (or 5630719 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 14234240224000 its reverse (42204243241), we get a palindrome (14276444467241).

The spelling of 14234240224000 in words is "fourteen trillion, two hundred thirty-four billion, two hundred forty million, two hundred twenty-four thousand".