41509680 has 80 divisors (see below), whose sum is σ = 135467520. Its totient is φ = 10485504.

The previous prime is 41509679. The next prime is 41509691. The reversal of 41509680 is 8690514.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9 + ... + 9111.

It is an arithmetic number, because the mean of its divisors is an integer number (1693344).

Almost surely, 2^41509680 is an apocalyptic number.

41509680 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 41509680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67733760).

41509680 is an abundant number, since it is smaller than the sum of its proper divisors (93957840).

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

41509680 is a wasteful number, since it uses less digits than its factorization.

41509680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9138 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 41509680 is about 6442.8006332650. The cubic root of 41509680 is about 346.2446953186.

The spelling of 41509680 in words is "forty-one million, five hundred nine thousand, six hundred eighty".