41642160 has 120 divisors (see below), whose sum is σ = 150209136. Its totient is φ = 9515520.

The previous prime is 41642147. The next prime is 41642171. The reversal of 41642160 is 6124614.

41642160 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41642160.

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 23 ways as a sum of consecutive naturals, for example, 9990 + ... + 13530.

Almost surely, 2^41642160 is an apocalyptic number.

41642160 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 41642160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75104568).

41642160 is an abundant number, since it is smaller than the sum of its proper divisors (108566976).

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

41642160 is a wasteful number, since it uses less digits than its factorization.

41642160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 41642160 is about 6453.0736862367. The cubic root of 41642160 is about 346.6126559511.

Adding to 41642160 its reverse (6124614), we get a palindrome (47766774).

The spelling of 41642160 in words is "forty-one million, six hundred forty-two thousand, one hundred sixty".