14320400400 has 240 divisors, whose sum is σ = 52615441920. Its totient is φ = 3695500800.

The previous prime is 14320400387. The next prime is 14320400401. The reversal of 14320400400 is 400402341.

14320400400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (14320400401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313414 + ... + 356186.

It is an arithmetic number, because the mean of its divisors is an integer number (219231008).

Almost surely, 2^14320400400 is an apocalyptic number.

14320400400 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 14320400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26307720960).

14320400400 is an abundant number, since it is smaller than the sum of its proper divisors (38295041520).

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

14320400400 is a wasteful number, since it uses less digits than its factorization.

14320400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42831 (or 42814 counting only the distinct ones).

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

Adding to 14320400400 its reverse (400402341), we get a palindrome (14720802741).

The spelling of 14320400400 in words is "fourteen billion, three hundred twenty million, four hundred thousand, four hundred".