41204800 has 168 divisors, whose sum is σ = 125228096. Its totient is φ = 12994560.

The previous prime is 41204783. The next prime is 41204803. The reversal of 41204800 is 840214.

It is not an unprimeable number, because it can be changed into a prime (41204803) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 145459 + ... + 145741.

Almost surely, 2^41204800 is an apocalyptic number.

41204800 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 41204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62614048).

41204800 is an abundant number, since it is smaller than the sum of its proper divisors (84023296).

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

41204800 is a wasteful number, since it uses less digits than its factorization.

41204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 41204800 is about 6419.0965096344. The cubic root of 41204800 is about 345.3949128999.

The spelling of 41204800 in words is "forty-one million, two hundred four thousand, eight hundred".