200442010332312 has 720 divisors, whose sum is σ = 694656489875040. Its totient is φ = 53830779254784.

The previous prime is 200442010332307. The next prime is 200442010332353. The reversal of 200442010332312 is 213233010244002.

200442010332312 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 4 + 2 + 0 + 10 + 332 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 7313519713 + ... + 7313547119.

It is an arithmetic number, because the mean of its divisors is an integer number (964800680382).

Almost surely, 2^{200442010332312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200442010332312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347328244937520).

200442010332312 is an abundant number, since it is smaller than the sum of its proper divisors (494214479542728).

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

200442010332312 is a wasteful number, since it uses less digits than its factorization.

200442010332312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28270 (or 28233 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 200442010332312 its reverse (213233010244002), we get a palindrome (413675020576314).

The spelling of 200442010332312 in words is "two hundred trillion, four hundred forty-two billion, ten million, three hundred thirty-two thousand, three hundred twelve".