42331300202200 has 192 divisors, whose sum is σ = 101152574392320. Its totient is φ = 16468300992000.

The previous prime is 42331300202153. The next prime is 42331300202231. The reversal of 42331300202200 is 220200313324.

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, 1314988105 + ... + 1315020295.

It is an arithmetic number, because the mean of its divisors is an integer number (526836324960).

Almost surely, 2^{42331300202200} is an apocalyptic number.

42331300202200 is a gapful number since it is divisible by the number (40) 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 42331300202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50576287196160).

42331300202200 is an abundant number, since it is smaller than the sum of its proper divisors (58821274190120).

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

42331300202200 is a wasteful number, since it uses less digits than its factorization.

42331300202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33338 (or 33329 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 42331300202200 its reverse (220200313324), we get a palindrome (42551500515524).

The spelling of 42331300202200 in words is "forty-two trillion, three hundred thirty-one billion, three hundred million, two hundred two thousand, two hundred".