4200330400200 has 384 divisors, whose sum is σ = 15789529584000. Its totient is φ = 1017844531200.

The previous prime is 4200330400199. The next prime is 4200330400223. The reversal of 4200330400200 is 20040330024.

4200330400200 is a `hidden beast` number, since 420 + 0 + 3 + 3 + 0 + 40 + 0 + 200 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 159713452 + ... + 159739748.

It is an arithmetic number, because the mean of its divisors is an integer number (41118566625).

Almost surely, 2^{4200330400200} is an apocalyptic number.

4200330400200 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 4200330400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894764792000).

4200330400200 is an abundant number, since it is smaller than the sum of its proper divisors (11589199183800).

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

4200330400200 is a wasteful number, since it uses less digits than its factorization.

4200330400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29022 (or 29007 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 4200330400200 its reverse (20040330024), we get a palindrome (4220370730224).

The spelling of 4200330400200 in words is "four trillion, two hundred billion, three hundred thirty million, four hundred thousand, two hundred".