41200800 has 72 divisors (see below), whose sum is σ = 134116416. Its totient is φ = 10986240.

The previous prime is 41200799. The next prime is 41200823. The reversal of 41200800 is 800214.

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 41200800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6184 + ... + 10983.

It is an arithmetic number, because the mean of its divisors is an integer number (1862728).

Almost surely, 2^41200800 is an apocalyptic number.

41200800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41200800 is an abundant number, since it is smaller than the sum of its proper divisors (92915616).

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

41200800 is a wasteful number, since it uses less digits than its factorization.

41200800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17190 (or 17177 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 41200800 is about 6418.7849317453. The cubic root of 41200800 is about 345.3837360115.

The spelling of 41200800 in words is "forty-one million, two hundred thousand, eight hundred".