13424024000 has 112 divisors (see below), whose sum is σ = 33589264800. Its totient is φ = 5313945600.

The previous prime is 13424023999. The next prime is 13424024063. The reversal of 13424024000 is 42042431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767351 + ... + 784649.

It is an arithmetic number, because the mean of its divisors is an integer number (299904150).

Almost surely, 2^13424024000 is an apocalyptic number.

13424024000 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 13424024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16794632400).

13424024000 is an abundant number, since it is smaller than the sum of its proper divisors (20165240800).

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

13424024000 is an equidigital number, since it uses as much as digits as its factorization.

13424024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17423 (or 17403 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 13424024000 its reverse (42042431), we get a palindrome (13466066431).

The spelling of 13424024000 in words is "thirteen billion, four hundred twenty-four million, twenty-four thousand".