42300401220200 has 144 divisors (see below), whose sum is σ = 100511345731200. Its totient is φ = 16555893782400.

The previous prime is 42300401220199. The next prime is 42300401220227. The reversal of 42300401220200 is 202210400324.

42300401220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2134325891 + ... + 2134345709.

Almost surely, 2^{42300401220200} is an apocalyptic number.

42300401220200 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 42300401220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50255672865600).

42300401220200 is an abundant number, since it is smaller than the sum of its proper divisors (58210944511000).

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

42300401220200 is a wasteful number, since it uses less digits than its factorization.

42300401220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24760 (or 24704 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42300401220200 its reverse (202210400324), we get a palindrome (42502611620524).

The spelling of 42300401220200 in words is "forty-two trillion, three hundred billion, four hundred one million, two hundred twenty thousand, two hundred".