200424404000 has 192 divisors, whose sum is σ = 501897876480. Its totient is φ = 78645427200.

The previous prime is 200424403999. The next prime is 200424404021. The reversal of 200424404000 is 404424002.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44905769 + ... + 44910231.

It is an arithmetic number, because the mean of its divisors is an integer number (2614051440).

Almost surely, 2^200424404000 is an apocalyptic number.

200424404000 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 200424404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250948938240).

200424404000 is an abundant number, since it is smaller than the sum of its proper divisors (301473472480).

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

200424404000 is a wasteful number, since it uses less digits than its factorization.

200424404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4700 (or 4682 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 200424404000 its reverse (404424002), we get a palindrome (200828828002).

The spelling of 200424404000 in words is "two hundred billion, four hundred twenty-four million, four hundred four thousand".