41984000 has 112 divisors (see below), whose sum is σ = 107341416. Its totient is φ = 16384000.

The previous prime is 41983969. The next prime is 41984021. The reversal of 41984000 is 48914.

It can be written as a sum of positive squares in 4 ways, for example, as 3444736 + 38539264 = 1856^2 + 6208^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023980 + ... + 1024020.

Almost surely, 2^41984000 is an apocalyptic number.

41984000 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 41984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53670708).

41984000 is an abundant number, since it is smaller than the sum of its proper divisors (65357416).

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

41984000 is an frugal number, since it uses more digits than its factorization.

41984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 41984000 is about 6479.5061540213. The cubic root of 41984000 is about 347.5585188615.

The spelling of 41984000 in words is "forty-one million, nine hundred eighty-four thousand".