14411424000 has 288 divisors, whose sum is σ = 50393266560. Its totient is φ = 3640320000.

The previous prime is 14411423969. The next prime is 14411424011. The reversal of 14411424000 is 42411441.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1820050 + ... + 1827950.

It is an arithmetic number, because the mean of its divisors is an integer number (174976620).

Almost surely, 2^14411424000 is an apocalyptic number.

14411424000 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 14411424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25196633280).

14411424000 is an abundant number, since it is smaller than the sum of its proper divisors (35981842560).

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

14411424000 is an equidigital number, since it uses as much as digits as its factorization.

14411424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7954 (or 7930 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 14411424000 its reverse (42411441), we get a palindrome (14453835441).

The spelling of 14411424000 in words is "fourteen billion, four hundred eleven million, four hundred twenty-four thousand".