14422320000 has 640 divisors, whose sum is σ = 58121395200. Its totient is φ = 3490560000.

The previous prime is 14422319983. The next prime is 14422320007. The reversal of 14422320000 is 2322441.

14422320000 is a `hidden beast` number, since 1 + 442 + 23 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×14422320000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14422320007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23759697 + ... + 23760303.

It is an arithmetic number, because the mean of its divisors is an integer number (90814680).

Almost surely, 2^14422320000 is an apocalyptic number.

14422320000 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 14422320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29060697600).

14422320000 is an abundant number, since it is smaller than the sum of its proper divisors (43699075200).

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

14422320000 is an equidigital number, since it uses as much as digits as its factorization.

14422320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 14422320000 its reverse (2322441), we get a palindrome (14424642441).

The spelling of 14422320000 in words is "fourteen billion, four hundred twenty-two million, three hundred twenty thousand".