41016800 has 144 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 14476800.

The previous prime is 41016799. The next prime is 41016823. The reversal of 41016800 is 861014.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519161 + ... + 519239.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^41016800 is an apocalyptic number.

41016800 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 41016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

41016800 is an abundant number, since it is smaller than the sum of its proper divisors (71476000).

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

41016800 is a wasteful number, since it uses less digits than its factorization.

41016800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 41016800 is about 6404.4359626746. The cubic root of 41016800 is about 344.8688152082.

Adding to 41016800 its reverse (861014), we get a palindrome (41877814).

It can be divided in two parts, 4101 and 6800, that added together give a palindrome (10901).

The spelling of 41016800 in words is "forty-one million, sixteen thousand, eight hundred".