14042222322432 has 144 divisors (see below), whose sum is σ = 38248515220608. Its totient is φ = 4571098398720.

The previous prime is 14042222322377. The next prime is 14042222322439. The reversal of 14042222322432 is 23422322224041.

It is a junction number, because it is equal to n+sod(n) for n = 14042222322393 and 14042222322402.

It is not an unprimeable number, because it can be changed into a prime (14042222322439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209768007 + ... + 209834937.

It is an arithmetic number, because the mean of its divisors is an integer number (265614689032).

Almost surely, 2^{14042222322432} is an apocalyptic number.

14042222322432 is a gapful number since it is divisible by the number (12) 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 14042222322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19124257610304).

14042222322432 is an abundant number, since it is smaller than the sum of its proper divisors (24206292898176).

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

14042222322432 is an equidigital number, since it uses as much as digits as its factorization.

14042222322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73346 (or 73332 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 14042222322432 its reverse (23422322224041), we get a palindrome (37464544546473).

The spelling of 14042222322432 in words is "fourteen trillion, forty-two billion, two hundred twenty-two million, three hundred twenty-two thousand, four hundred thirty-two".