41943200 has 144 divisors (see below), whose sum is σ = 114289560. Its totient is φ = 14929920.

The previous prime is 41943197. The next prime is 41943211. The reversal of 41943200 is 234914.

It can be written as a sum of positive squares in 12 ways, for example, as 5895184 + 36048016 = 2428^2 + 6004^2 .

It is a zygodrome in base 4.

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, 384746 + ... + 384854.

Almost surely, 2^41943200 is an apocalyptic number.

41943200 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 41943200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57144780).

41943200 is an abundant number, since it is smaller than the sum of its proper divisors (72346360).

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

41943200 is a wasteful number, since it uses less digits than its factorization.

41943200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 41943200 is about 6476.3570006602. The cubic root of 41943200 is about 347.4458967233.

The spelling of 41943200 in words is "forty-one million, nine hundred forty-three thousand, two hundred".