42442042422200 has 192 divisors, whose sum is σ = 100682696520000. Its totient is φ = 16635026903040.

The previous prime is 42442042422161. The next prime is 42442042422217. The reversal of 42442042422200 is 222424024424.

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, 6214968386 + ... + 6214975214.

It is an arithmetic number, because the mean of its divisors is an integer number (524389044375).

Almost surely, 2^{42442042422200} is an apocalyptic number.

42442042422200 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 42442042422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50341348260000).

42442042422200 is an abundant number, since it is smaller than the sum of its proper divisors (58240654097800).

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

42442042422200 is a wasteful number, since it uses less digits than its factorization.

42442042422200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9634 (or 9625 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 42442042422200 its reverse (222424024424), we get a palindrome (42664466446624).

The spelling of 42442042422200 in words is "forty-two trillion, four hundred forty-two billion, forty-two million, four hundred twenty-two thousand, two hundred".