14013430400 has 192 divisors, whose sum is σ = 35378985600. Its totient is φ = 5483520000.

The previous prime is 14013430397. The next prime is 14013430421. The reversal of 14013430400 is 403431041.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55830275 + ... + 55830525.

It is an arithmetic number, because the mean of its divisors is an integer number (184265550).

Almost surely, 2^14013430400 is an apocalyptic number.

14013430400 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 14013430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17689492800).

14013430400 is an abundant number, since it is smaller than the sum of its proper divisors (21365555200).

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

14013430400 is a wasteful number, since it uses less digits than its factorization.

14013430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14013430400 its reverse (403431041), we get a palindrome (14416861441).

The spelling of 14013430400 in words is "fourteen billion, thirteen million, four hundred thirty thousand, four hundred".