200234304242240 has 224 divisors, whose sum is σ = 499946189783040. Its totient is φ = 76241100773376.

The previous prime is 200234304242237. The next prime is 200234304242257. The reversal of 200234304242240 is 42242403432002.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 200234304242197 and 200234304242206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2756379359 + ... + 2756452001.

It is an arithmetic number, because the mean of its divisors is an integer number (2231902632960).

Almost surely, 2^{200234304242240} is an apocalyptic number.

200234304242240 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 200234304242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249973094891520).

200234304242240 is an abundant number, since it is smaller than the sum of its proper divisors (299711885540800).

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

200234304242240 is a wasteful number, since it uses less digits than its factorization.

200234304242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74489 (or 74479 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 200234304242240 its reverse (42242403432002), we get a palindrome (242476707674242).

The spelling of 200234304242240 in words is "two hundred trillion, two hundred thirty-four billion, three hundred four million, two hundred forty-two thousand, two hundred forty".