41032800 has 216 divisors, whose sum is σ = 149287320. Its totient is φ = 10598400.

The previous prime is 41032787. The next prime is 41032801. The reversal of 41032800 is 823014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41032801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 295131 + ... + 295269.

It is an arithmetic number, because the mean of its divisors is an integer number (691145).

Almost surely, 2^41032800 is an apocalyptic number.

41032800 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 41032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74643660).

41032800 is an abundant number, since it is smaller than the sum of its proper divisors (108254520).

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

41032800 is a wasteful number, since it uses less digits than its factorization.

41032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 41032800 is about 6405.6849750827. The cubic root of 41032800 is about 344.9136519883.

Adding to 41032800 its reverse (823014), we get a palindrome (41855814).

It can be divided in two parts, 4103 and 2800, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 41032800 in words is "forty-one million, thirty-two thousand, eight hundred".