14021230400 has 84 divisors (see below), whose sum is σ = 34721363628. Its totient is φ = 5572669440.

The previous prime is 14021230393. The next prime is 14021230409. The reversal of 14021230400 is 403212041.

It can be written as a sum of positive squares in 6 ways, for example, as 133079296 + 13888151104 = 11536^2 + 117848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14021230409) 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 11 ways as a sum of consecutive naturals, for example, 223292 + ... + 279108.

It is an arithmetic number, because the mean of its divisors is an integer number (413349567).

Almost surely, 2^14021230400 is an apocalyptic number.

14021230400 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 14021230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17360681814).

14021230400 is an abundant number, since it is smaller than the sum of its proper divisors (20700133228).

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

14021230400 is a wasteful number, since it uses less digits than its factorization.

14021230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55996 (or 55981 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 14021230400 its reverse (403212041), we get a palindrome (14424442441).

The spelling of 14021230400 in words is "fourteen billion, twenty-one million, two hundred thirty thousand, four hundred".