14011242320000 has 160 divisors (see below), whose sum is σ = 35081765850780. Its totient is φ = 5572095488000.

The previous prime is 14011242319889. The next prime is 14011242320003. The reversal of 14011242320000 is 2324211041.

It can be written as a sum of positive squares in 10 ways, for example, as 66634194496 + 13944608125504 = 258136^2 + 3734248^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×14011242320000² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14011242320003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13333814 + ... + 14346186.

Almost surely, 2^{14011242320000} is an apocalyptic number.

14011242320000 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 14011242320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17540882925390).

14011242320000 is an abundant number, since it is smaller than the sum of its proper divisors (21070523530780).

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

14011242320000 is an equidigital number, since it uses as much as digits as its factorization.

14011242320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012580 (or 1012553 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14011242320000 its reverse (2324211041), we get a palindrome (14013566531041).

The spelling of 14011242320000 in words is "fourteen trillion, eleven billion, two hundred forty-two million, three hundred twenty thousand".