40200200 has 96 divisors (see below), whose sum is σ = 100440000. Its totient is φ = 14918400.

The previous prime is 40200191. The next prime is 40200203. The reversal of 40200200 is 200204.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (40200203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269726 + ... + 269874.

It is an arithmetic number, because the mean of its divisors is an integer number (1046250).

Almost surely, 2^40200200 is an apocalyptic number.

40200200 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 40200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50220000).

40200200 is an abundant number, since it is smaller than the sum of its proper divisors (60239800).

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

40200200 is a wasteful number, since it uses less digits than its factorization.

40200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 40200200 is about 6340.3627656468. The cubic root of 40200200 is about 342.5648020600.

Adding to 40200200 its reverse (200204), we get a palindrome (40400404).

The spelling of 40200200 in words is "forty million, two hundred thousand, two hundred".