42202220400200 has 96 divisors (see below), whose sum is σ = 112993339124160. Its totient is φ = 14358879724800.

The previous prime is 42202220400139. The next prime is 42202220400203. The reversal of 42202220400200 is 200402220224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42202220400203) 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, 114871727 + ... + 115238526.

It is an arithmetic number, because the mean of its divisors is an integer number (1177013949210).

Almost surely, 2^{42202220400200} is an apocalyptic number.

42202220400200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42202220400200 is an abundant number, since it is smaller than the sum of its proper divisors (70791118723960).

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

42202220400200 is a wasteful number, since it uses less digits than its factorization.

42202220400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230110407 (or 230110398 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 42202220400200 its reverse (200402220224), we get a palindrome (42402622620424).

The spelling of 42202220400200 in words is "forty-two trillion, two hundred two billion, two hundred twenty million, four hundred thousand, two hundred".