41882960 has 80 divisors (see below), whose sum is σ = 115171200. Its totient is φ = 13859328.

The previous prime is 41882959. The next prime is 41882987. The reversal of 41882960 is 6928814.

41882960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14951 + ... + 17529.

It is an arithmetic number, because the mean of its divisors is an integer number (1439640).

Almost surely, 2^41882960 is an apocalyptic number.

41882960 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 41882960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57585600).

41882960 is an abundant number, since it is smaller than the sum of its proper divisors (73288240).

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

41882960 is a wasteful number, since it uses less digits than its factorization.

41882960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 41882960 is about 6471.7045668046. The cubic root of 41882960 is about 347.2794798471.

The spelling of 41882960 in words is "forty-one million, eight hundred eighty-two thousand, nine hundred sixty".