14434441130240 has 144 divisors (see below), whose sum is σ = 35028526474368. Its totient is φ = 5698187378688.

The previous prime is 14434441130231. The next prime is 14434441130267. The reversal of 14434441130240 is 4203114443441.

It is a self number, because there is not a number n which added to its sum of digits gives 14434441130240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101175437 + ... + 101318003.

It is an arithmetic number, because the mean of its divisors is an integer number (243253656072).

Almost surely, 2^{14434441130240} is an apocalyptic number.

14434441130240 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 14434441130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17514263237184).

14434441130240 is an abundant number, since it is smaller than the sum of its proper divisors (20594085344128).

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

14434441130240 is an equidigital number, since it uses as much as digits as its factorization.

14434441130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143624 (or 143610 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 14434441130240 its reverse (4203114443441), we get a palindrome (18637555573681).

The spelling of 14434441130240 in words is "fourteen trillion, four hundred thirty-four billion, four hundred forty-one million, one hundred thirty thousand, two hundred forty".