200023310030400 has 252 divisors, whose sum is σ = 711016428814692. Its totient is φ = 53333070151680.

The previous prime is 200023310030371. The next prime is 200023310030419. The reversal of 200023310030400 is 4030013320002.

200023310030400 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 233 + 1 + 0 + 0 + 30 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1373002749504 + 198650307280896 = 1171752^2 + 14094336^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118291692 + ... + 119970708.

Almost surely, 2^{200023310030400} is an apocalyptic number.

200023310030400 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 200023310030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355508214407346).

200023310030400 is an abundant number, since it is smaller than the sum of its proper divisors (510993118784292).

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

200023310030400 is a wasteful number, since it uses less digits than its factorization.

200023310030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687318 (or 1687300 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 200023310030400 its reverse (4030013320002), we get a palindrome (204053323350402).

The spelling of 200023310030400 in words is "two hundred trillion, twenty-three billion, three hundred ten million, thirty thousand, four hundred".