42333043202200 has 96 divisors (see below), whose sum is σ = 99777633688800. Its totient is φ = 16700413455360.

The previous prime is 42333043202183. The next prime is 42333043202207. The reversal of 42333043202200 is 220234033324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42333043202207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345506149 + ... + 345628651.

It is an arithmetic number, because the mean of its divisors is an integer number (1039350350925).

Almost surely, 2^{42333043202200} is an apocalyptic number.

42333043202200 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 42333043202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49888816844400).

42333043202200 is an abundant number, since it is smaller than the sum of its proper divisors (57444590486600).

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

42333043202200 is a wasteful number, since it uses less digits than its factorization.

42333043202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146261 (or 146252 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 42333043202200 its reverse (220234033324), we get a palindrome (42553277235524).

The spelling of 42333043202200 in words is "forty-two trillion, three hundred thirty-three billion, forty-three million, two hundred two thousand, two hundred".