14414112244400 has 240 divisors, whose sum is σ = 38824310942208. Its totient is φ = 5096520576000.

The previous prime is 14414112244373. The next prime is 14414112244471. The reversal of 14414112244400 is 444221141441.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257684435 + ... + 257740365.

Almost surely, 2^{14414112244400} is an apocalyptic number.

14414112244400 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 14414112244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19412155471104).

14414112244400 is an abundant number, since it is smaller than the sum of its proper divisors (24410198697808).

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

14414112244400 is a wasteful number, since it uses less digits than its factorization.

14414112244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57580 (or 57569 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 14414112244400 its reverse (444221141441), we get a palindrome (14858333385841).

The spelling of 14414112244400 in words is "fourteen trillion, four hundred fourteen billion, one hundred twelve million, two hundred forty-four thousand, four hundred".