20431424000 has 240 divisors, whose sum is σ = 55196701560. Its totient is φ = 7539916800.

The previous prime is 20431423979. The next prime is 20431424011. The reversal of 20431424000 is 42413402.

It can be written as a sum of positive squares in 12 ways, for example, as 6755524864 + 13675899136 = 82192^2 + 116944^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10815056 + ... + 10816944.

Almost surely, 2^20431424000 is an apocalyptic number.

20431424000 is a gapful number since it is divisible by the number (20) 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 20431424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27598350780).

20431424000 is an abundant number, since it is smaller than the sum of its proper divisors (34765277560).

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

20431424000 is an equidigital number, since it uses as much as digits as its factorization.

20431424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1909 counting only the distinct ones).

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

Adding to 20431424000 its reverse (42413402), we get a palindrome (20473837402).

The spelling of 20431424000 in words is "twenty billion, four hundred thirty-one million, four hundred twenty-four thousand".