200424400000 has 576 divisors, whose sum is σ = 567510005160. Its totient is φ = 70400000000.

The previous prime is 200424399991. The next prime is 200424400051. The reversal of 200424400000 is 4424002.

It can be written as a sum of positive squares in 12 ways, for example, as 90418084416 + 110006315584 = 300696^2 + 331672^2 .

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1984399950 + ... + 1984400050.

Almost surely, 2^200424400000 is an apocalyptic number.

200424400000 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 200424400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283755002580).

200424400000 is an abundant number, since it is smaller than the sum of its proper divisors (367085605160).

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

200424400000 is an equidigital number, since it uses as much as digits as its factorization.

200424400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 200424400000 its reverse (4424002), we get a palindrome (200428824002).

The spelling of 200424400000 in words is "two hundred billion, four hundred twenty-four million, four hundred thousand".