14444241044000 has 96 divisors (see below), whose sum is σ = 35527385131056. Its totient is φ = 5771528755200.

The previous prime is 14444241043937. The next prime is 14444241044021. The reversal of 14444241044000 is 44014244441.

It can be written as a sum of positive squares in 8 ways, for example, as 1137183366544 + 13307057677456 = 1066388^2 + 3647884^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1821074 + ... + 5674926.

Almost surely, 2^{14444241044000} is an apocalyptic number.

14444241044000 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 14444241044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17763692565528).

14444241044000 is an abundant number, since it is smaller than the sum of its proper divisors (21083144087056).

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

14444241044000 is an equidigital number, since it uses as much as digits as its factorization.

14444241044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854815 (or 3854797 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 14444241044000 its reverse (44014244441), we get a palindrome (14488255288441).

The spelling of 14444241044000 in words is "fourteen trillion, four hundred forty-four billion, two hundred forty-one million, forty-four thousand".