41604800 has 42 divisors (see below), whose sum is σ = 102377748. Its totient is φ = 16641280.

The previous prime is 41604781. The next prime is 41604803. The reversal of 41604800 is 840614.

It is a happy number.

41604800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41604803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11402 + ... + 14601.

Almost surely, 2^41604800 is an apocalyptic number.

41604800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41604800 is an abundant number, since it is smaller than the sum of its proper divisors (60772948).

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

41604800 is a wasteful number, since it uses less digits than its factorization.

41604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26025 (or 26010 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 41604800 is about 6450.1782921095. The cubic root of 41604800 is about 346.5089683793.

The spelling of 41604800 in words is "forty-one million, six hundred four thousand, eight hundred".