14000322400 has 144 divisors (see below), whose sum is σ = 35502727680. Its totient is φ = 5387225600.

The previous prime is 14000322397. The next prime is 14000322419. The reversal of 14000322400 is 422300041.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2215245 + ... + 2221555.

It is an arithmetic number, because the mean of its divisors is an integer number (246546720).

Almost surely, 2^14000322400 is an apocalyptic number.

14000322400 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 14000322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17751363840).

14000322400 is an abundant number, since it is smaller than the sum of its proper divisors (21502405280).

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

14000322400 is a wasteful number, since it uses less digits than its factorization.

14000322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6437 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 14000322400 its reverse (422300041), we get a palindrome (14422622441).

It can be divided in two parts, 14000 and 322400, that added together give a square (336400 = 580²).

The spelling of 14000322400 in words is "fourteen billion, three hundred twenty-two thousand, four hundred".