42008236200 has 1152 divisors, whose sum is σ = 180471782400. Its totient is φ = 8868372480.

The previous prime is 42008236169. The next prime is 42008236321. The reversal of 42008236200 is 263280024.

42008236200 is a `hidden beast` number, since 420 + 0 + 8 + 2 + 36 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 433074552 + ... + 433074648.

Almost surely, 2^42008236200 is an apocalyptic number.

42008236200 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 42008236200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90235891200).

42008236200 is an abundant number, since it is smaller than the sum of its proper divisors (138463546200).

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

42008236200 is a wasteful number, since it uses less digits than its factorization.

42008236200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 42008236200 in words is "forty-two billion, eight million, two hundred thirty-six thousand, two hundred".