200424040330400 has 288 divisors, whose sum is σ = 545466101685120. Its totient is φ = 71465103360000.

The previous prime is 200424040330379. The next prime is 200424040330447. The reversal of 200424040330400 is 4033040424002.

200424040330400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 200424040330400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085446085 + ... + 1085630715.

It is an arithmetic number, because the mean of its divisors is an integer number (1893979519740).

Almost surely, 2^{200424040330400} is an apocalyptic number.

200424040330400 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 200424040330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272733050842560).

200424040330400 is an abundant number, since it is smaller than the sum of its proper divisors (345042061354720).

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

200424040330400 is a wasteful number, since it uses less digits than its factorization.

200424040330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188888 (or 188875 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 200424040330400 its reverse (4033040424002), we get a palindrome (204457080754402).

The spelling of 200424040330400 in words is "two hundred trillion, four hundred twenty-four billion, forty million, three hundred thirty thousand, four hundred".