41304034200 has 768 divisors, whose sum is σ = 158749839360. Its totient is φ = 8745984000.

The previous prime is 41304034199. The next prime is 41304034259. The reversal of 41304034200 is 243040314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 140969254 + ... + 140969546.

It is an arithmetic number, because the mean of its divisors is an integer number (206705520).

Almost surely, 2^41304034200 is an apocalyptic number.

41304034200 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 41304034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79374919680).

41304034200 is an abundant number, since it is smaller than the sum of its proper divisors (117445805160).

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

41304034200 is a wasteful number, since it uses less digits than its factorization.

41304034200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 41304034200 its reverse (243040314), we get a palindrome (41547074514).

The spelling of 41304034200 in words is "forty-one billion, three hundred four million, thirty-four thousand, two hundred".