42200105552000 has 256 divisors, whose sum is σ = 114848978025600. Its totient is φ = 15293100544000.

The previous prime is 42200105551987. The next prime is 42200105552039. The reversal of 42200105552000 is 25550100224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51158831 + ... + 51977169.

Almost surely, 2^{42200105552000} is an apocalyptic number.

42200105552000 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 42200105552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57424489012800).

42200105552000 is an abundant number, since it is smaller than the sum of its proper divisors (72648872473600).

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

42200105552000 is a wasteful number, since it uses less digits than its factorization.

42200105552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818672 (or 818650 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

Adding to 42200105552000 its reverse (25550100224), we get a palindrome (42225655652224).

The spelling of 42200105552000 in words is "forty-two trillion, two hundred billion, one hundred five million, five hundred fifty-two thousand".