14015230400 has 84 divisors (see below), whose sum is σ = 34561915128. Its totient is φ = 5593789440.

The previous prime is 14015230399. The next prime is 14015230409. The reversal of 14015230400 is 403251041.

14015230400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14015230409) 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 11 ways as a sum of consecutive naturals, for example, 737822 + ... + 756578.

Almost surely, 2^14015230400 is an apocalyptic number.

14015230400 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 14015230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280957564).

14015230400 is an abundant number, since it is smaller than the sum of its proper divisors (20546684728).

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

14015230400 is a wasteful number, since it uses less digits than its factorization.

14015230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19246 (or 19231 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 14015230400 its reverse (403251041), we get a palindrome (14418481441).

The spelling of 14015230400 in words is "fourteen billion, fifteen million, two hundred thirty thousand, four hundred".