14414401024 has 80 divisors (see below), whose sum is σ = 30208780800. Its totient is φ = 6858086400.

The previous prime is 14414401021. The next prime is 14414401039. The reversal of 14414401024 is 42010441441.

It is a self number, because there is not a number n which added to its sum of digits gives 14414401024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14414401021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2340349 + ... + 2346499.

It is an arithmetic number, because the mean of its divisors is an integer number (377609760).

Almost surely, 2^14414401024 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 14414401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15104390400).

14414401024 is an abundant number, since it is smaller than the sum of its proper divisors (15794379776).

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

14414401024 is an equidigital number, since it uses as much as digits as its factorization.

14414401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6391 (or 6375 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 14414401024 its reverse (42010441441), we get a palindrome (56424842465).

The spelling of 14414401024 in words is "fourteen billion, four hundred fourteen million, four hundred one thousand, twenty-four".