14444433214240 has 96 divisors (see below), whose sum is σ = 34566974648640. Its totient is φ = 5703282816000.

The previous prime is 14444433214229. The next prime is 14444433214241. The reversal of 14444433214240 is 4241233444441.

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

It is a junction number, because it is equal to n+sod(n) for n = 14444433214193 and 14444433214202.

It is not an unprimeable number, because it can be changed into a prime (14444433214241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3998751 + ... + 6699169.

It is an arithmetic number, because the mean of its divisors is an integer number (360072652590).

Almost surely, 2^{14444433214240} is an apocalyptic number.

14444433214240 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 14444433214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17283487324320).

14444433214240 is an abundant number, since it is smaller than the sum of its proper divisors (20122541434400).

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

14444433214240 is a wasteful number, since it uses less digits than its factorization.

14444433214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700866 (or 2700858 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 14444433214240 its reverse (4241233444441), we get a palindrome (18685666658681).

The spelling of 14444433214240 in words is "fourteen trillion, four hundred forty-four billion, four hundred thirty-three million, two hundred fourteen thousand, two hundred forty".