41530080 has 96 divisors (see below), whose sum is σ = 135088128. Its totient is φ = 10713600.

The previous prime is 41530079. The next prime is 41530091. The reversal of 41530080 is 8003514.

41530080 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 (96).

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, 13485 + ... + 16275.

It is an arithmetic number, because the mean of its divisors is an integer number (1407168).

Almost surely, 2^41530080 is an apocalyptic number.

41530080 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 41530080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67544064).

41530080 is an abundant number, since it is smaller than the sum of its proper divisors (93558048).

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

41530080 is a wasteful number, since it uses less digits than its factorization.

41530080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 41530080 is about 6444.3836012454. The cubic root of 41530080 is about 346.3014068695.

Adding to 41530080 its reverse (8003514), we get a palindrome (49533594).

The spelling of 41530080 in words is "forty-one million, five hundred thirty thousand, eighty".