41824960 has 56 divisors (see below), whose sum is σ = 103052880. Its totient is φ = 16149504.

The previous prime is 41824933. The next prime is 41824963. The reversal of 41824960 is 6942814.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (41824963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7027 + ... + 11533.

It is an arithmetic number, because the mean of its divisors is an integer number (1840230).

Almost surely, 2^41824960 is an apocalyptic number.

41824960 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 41824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51526440).

41824960 is an abundant number, since it is smaller than the sum of its proper divisors (61227920).

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

41824960 is a wasteful number, since it uses less digits than its factorization.

41824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4553 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 41824960 is about 6467.2219692848. The cubic root of 41824960 is about 347.1191002662.

The spelling of 41824960 in words is "forty-one million, eight hundred twenty-four thousand, nine hundred sixty".