42200440204200 has 96 divisors (see below), whose sum is σ = 130849585760160. Its totient is φ = 11251023097600.

The previous prime is 42200440204141. The next prime is 42200440204213. The reversal of 42200440204200 is 240204400224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4801806 + ... + 10366205.

It is an arithmetic number, because the mean of its divisors is an integer number (1363016518335).

Almost surely, 2^{42200440204200} is an apocalyptic number.

42200440204200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42200440204200 is an abundant number, since it is smaller than the sum of its proper divisors (88649145555960).

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

42200440204200 is a wasteful number, since it uses less digits than its factorization.

42200440204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15172667 (or 15172658 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 42200440204200 its reverse (240204400224), we get a palindrome (42440644604424).

The spelling of 42200440204200 in words is "forty-two trillion, two hundred billion, four hundred forty million, two hundred four thousand, two hundred".