20204424000 has 448 divisors, whose sum is σ = 75032006400. Its totient is φ = 5322240000.

The previous prime is 20204423999. The next prime is 20204424001. The reversal of 20204424000 is 42440202.

20204424000 is a `hidden beast` number, since 20 + 204 + 42 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20204423999) and next prime (20204424001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20204424001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 19223475 + ... + 19224525.

Almost surely, 2^20204424000 is an apocalyptic number.

20204424000 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 20204424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37516003200).

20204424000 is an abundant number, since it is smaller than the sum of its proper divisors (54827582400).

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

20204424000 is a wasteful number, since it uses less digits than its factorization.

20204424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20204424000 its reverse (42440202), we get a palindrome (20246864202).

The spelling of 20204424000 in words is "twenty billion, two hundred four million, four hundred twenty-four thousand".