14430120411344 has 240 divisors, whose sum is σ = 32824321817280. Its totient is φ = 6092761006080.

The previous prime is 14430120411341. The next prime is 14430120411373. The reversal of 14430120411344 is 44311402103441.

It is a self number, because there is not a number n which added to its sum of digits gives 14430120411344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14430120411341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1869909374 + ... + 1869917090.

It is an arithmetic number, because the mean of its divisors is an integer number (136768007572).

Almost surely, 2^{14430120411344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14430120411344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16412160908640).

14430120411344 is an abundant number, since it is smaller than the sum of its proper divisors (18394201405936).

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

14430120411344 is a wasteful number, since it uses less digits than its factorization.

14430120411344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8246 (or 8223 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 14430120411344 its reverse (44311402103441), we get a palindrome (58741522514785).

The spelling of 14430120411344 in words is "fourteen trillion, four hundred thirty billion, one hundred twenty million, four hundred eleven thousand, three hundred forty-four".