41685280 has 144 divisors (see below), whose sum is σ = 123674040. Its totient is φ = 13160448.

The previous prime is 41685277. The next prime is 41685289. The reversal of 41685280 is 8258614.

It can be written as a sum of positive squares in 4 ways, for example, as 34904464 + 6780816 = 5908^2 + 2604^2 .

It is not an unprimeable number, because it can be changed into a prime (41685289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101716 + ... + 102124.

Almost surely, 2^41685280 is an apocalyptic number.

41685280 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 41685280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61837020).

41685280 is an abundant number, since it is smaller than the sum of its proper divisors (81988760).

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

41685280 is a wasteful number, since it uses less digits than its factorization.

41685280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 41685280 is about 6456.4138652971. The cubic root of 41685280 is about 346.7322525483.

The spelling of 41685280 in words is "forty-one million, six hundred eighty-five thousand, two hundred eighty".