41961600 has 288 divisors, whose sum is σ = 157847040. Its totient is φ = 10598400.

The previous prime is 41961599. The next prime is 41961611. The reversal of 41961600 is 616914.

41961600 is a `hidden beast` number, since 41 + 9 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 892777 + ... + 892823.

It is an arithmetic number, because the mean of its divisors is an integer number (548080).

Almost surely, 2^41961600 is an apocalyptic number.

41961600 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 41961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78923520).

41961600 is an abundant number, since it is smaller than the sum of its proper divisors (115885440).

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

41961600 is a wasteful number, since it uses less digits than its factorization.

41961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 41961600 is about 6477.7773966076. Note that the first 3 decimals coincide. The cubic root of 41961600 is about 347.4966961368.

The spelling of 41961600 in words is "forty-one million, nine hundred sixty-one thousand, six hundred".