14444134400 has 252 divisors, whose sum is σ = 39007008600. Its totient is φ = 5284823040.

The previous prime is 14444134387. The next prime is 14444134403. The reversal of 14444134400 is 443144441.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14444134403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 498073586 + ... + 498073614.

Almost surely, 2^14444134400 is an apocalyptic number.

14444134400 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 14444134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19503504300).

14444134400 is an abundant number, since it is smaller than the sum of its proper divisors (24562874200).

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

14444134400 is an frugal number, since it uses more digits than its factorization.

14444134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 14444134400 its reverse (443144441), we get a palindrome (14887278841).

The spelling of 14444134400 in words is "fourteen billion, four hundred forty-four million, one hundred thirty-four thousand, four hundred".