42640284200 has 96 divisors (see below), whose sum is σ = 103539980160. Its totient is φ = 16300204800.

The previous prime is 42640284199. The next prime is 42640284293. The reversal of 42640284200 is 248204624.

42640284200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 6284810 + ... + 6291590.

It is an arithmetic number, because the mean of its divisors is an integer number (1078541460).

Almost surely, 2^42640284200 is an apocalyptic number.

42640284200 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 42640284200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51769990080).

42640284200 is an abundant number, since it is smaller than the sum of its proper divisors (60899695960).

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

42640284200 is a wasteful number, since it uses less digits than its factorization.

42640284200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8187 (or 8178 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 42640284200 its reverse (248204624), we get a palindrome (42888488824).

The spelling of 42640284200 in words is "forty-two billion, six hundred forty million, two hundred eighty-four thousand, two hundred".