200240212324224 has 384 divisors, whose sum is σ = 578256298008480. Its totient is φ = 61145721733120.

The previous prime is 200240212324211. The next prime is 200240212324231. The reversal of 200240212324224 is 422423212042002.

It is a happy number.

200240212324224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×200240212324224² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200240212324191 and 200240212324200.

It is a congruent number.

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, 67717351354 + ... + 67717354310.

Almost surely, 2^{200240212324224} is an apocalyptic number.

200240212324224 is a gapful number since it is divisible by the number (24) 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 200240212324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289128149004240).

200240212324224 is an abundant number, since it is smaller than the sum of its proper divisors (378016085684256).

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

200240212324224 is an equidigital number, since it uses as much as digits as its factorization.

200240212324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4038 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 200240212324224 its reverse (422423212042002), we get a palindrome (622663424366226).

The spelling of 200240212324224 in words is "two hundred trillion, two hundred forty billion, two hundred twelve million, three hundred twenty-four thousand, two hundred twenty-four".