14444134553200 has 240 divisors, whose sum is σ = 38300153311872. Its totient is φ = 5191081600000.

The previous prime is 14444134553171. The next prime is 14444134553201. The reversal of 14444134553200 is 235543144441.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14444134553201) 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 47 ways as a sum of consecutive naturals, for example, 250168335 + ... + 250226065.

Almost surely, 2^{14444134553200} is an apocalyptic number.

14444134553200 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 14444134553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150076655936).

14444134553200 is an abundant number, since it is smaller than the sum of its proper divisors (23856018758672).

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

14444134553200 is a wasteful number, since it uses less digits than its factorization.

14444134553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58424 (or 58413 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 14444134553200 its reverse (235543144441), we get a palindrome (14679677697641).

The spelling of 14444134553200 in words is "fourteen trillion, four hundred forty-four billion, one hundred thirty-four million, five hundred fifty-three thousand, two hundred".