4202113300200 has 288 divisors, whose sum is σ = 14216702572800. Its totient is φ = 1112286919680.

The previous prime is 4202113300169. The next prime is 4202113300201. The reversal of 4202113300200 is 20033112024.

4202113300200 is a `hidden beast` number, since 420 + 2 + 1 + 13 + 30 + 0 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4202113300201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139270716 + ... + 139300884.

It is an arithmetic number, because the mean of its divisors is an integer number (49363550600).

Almost surely, 2^{4202113300200} is an apocalyptic number.

4202113300200 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 4202113300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108351286400).

4202113300200 is an abundant number, since it is smaller than the sum of its proper divisors (10014589272600).

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

4202113300200 is a wasteful number, since it uses less digits than its factorization.

4202113300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30761 (or 30749 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 4202113300200 its reverse (20033112024), we get a palindrome (4222146412224).

The spelling of 4202113300200 in words is "four trillion, two hundred two billion, one hundred thirteen million, three hundred thousand, two hundred".