200020934400 has 1728 divisors, whose sum is σ = 855261926400. Its totient is φ = 40131624960.

The previous prime is 200020934387. The next prime is 200020934401. The reversal of 200020934400 is 4439020002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200020934401) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 2740012764 + ... + 2740012836.

Almost surely, 2^200020934400 is an apocalyptic number.

200020934400 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 200020934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427630963200).

200020934400 is an abundant number, since it is smaller than the sum of its proper divisors (655240992000).

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

200020934400 is a wasteful number, since it uses less digits than its factorization.

200020934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 200020934400 its reverse (4439020002), we get a palindrome (204459954402).

The spelling of 200020934400 in words is "two hundred billion, twenty million, nine hundred thirty-four thousand, four hundred".