42001600200 has 192 divisors, whose sum is σ = 152266920960. Its totient is φ = 9377061120.

The previous prime is 42001600177. The next prime is 42001600217. The reversal of 42001600200 is 200610024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42001600200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64317 + ... + 296883.

It is an arithmetic number, because the mean of its divisors is an integer number (793056880).

Almost surely, 2^42001600200 is an apocalyptic number.

42001600200 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 42001600200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76133460480).

42001600200 is an abundant number, since it is smaller than the sum of its proper divisors (110265320760).

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

42001600200 is a wasteful number, since it uses less digits than its factorization.

42001600200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232636 (or 232627 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The spelling of 42001600200 in words is "forty-two billion, one million, six hundred thousand, two hundred".