14144400000 has 288 divisors, whose sum is σ = 50887172700. Its totient is φ = 3770880000.

The previous prime is 14144399921. The next prime is 14144400041. The reversal of 14144400000 is 444141.

It can be written as a sum of positive squares in 6 ways, for example, as 3920763456 + 10223636544 = 62616^2 + 101112^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3598036 + ... + 3601964.

Almost surely, 2^14144400000 is an apocalyptic number.

14144400000 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 14144400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25443586350).

14144400000 is an abundant number, since it is smaller than the sum of its proper divisors (36742772700).

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

14144400000 is an frugal number, since it uses more digits than its factorization.

14144400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14144400000 its reverse (444141), we get a palindrome (14144844141).

The spelling of 14144400000 in words is "fourteen billion, one hundred forty-four million, four hundred thousand".