14414304430000 has 100 divisors (see below), whose sum is σ = 34932677877328. Its totient is φ = 5760070560000.

The previous prime is 14414304429991. The next prime is 14414304430027. The reversal of 14414304430000 is 3440341441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9504109 + ... + 10915891.

Almost surely, 2^{14414304430000} is an apocalyptic number.

14414304430000 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 14414304430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17466338938664).

14414304430000 is an abundant number, since it is smaller than the sum of its proper divisors (20518373447328).

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

14414304430000 is a wasteful number, since it uses less digits than its factorization.

14414304430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412832 (or 1412811 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14414304430000 its reverse (3440341441), we get a palindrome (14417744771441).

The spelling of 14414304430000 in words is "fourteen trillion, four hundred fourteen billion, three hundred four million, four hundred thirty thousand".