200040313200 has 480 divisors, whose sum is σ = 799810808832. Its totient is φ = 41610240000.

The previous prime is 200040313169. The next prime is 200040313211. The reversal of 200040313200 is 2313040002.

200040313200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×200040313200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200040313200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7740300 + ... + 7766100.

Almost surely, 2^200040313200 is an apocalyptic number.

200040313200 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 200040313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399905404416).

200040313200 is an abundant number, since it is smaller than the sum of its proper divisors (599770495632).

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

200040313200 is a wasteful number, since it uses less digits than its factorization.

200040313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25913 (or 25902 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 200040313200 its reverse (2313040002), we get a palindrome (202353353202).

The spelling of 200040313200 in words is "two hundred billion, forty million, three hundred thirteen thousand, two hundred".