41516160 has 128 divisors (see below), whose sum is σ = 151286400. Its totient is φ = 9486336.

The previous prime is 41516143. The next prime is 41516171. The reversal of 41516160 is 6161514.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×41516160² = 3447183082291200, which contains 22 as substring.

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 41516160.

It is a congruent number.

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, 11896 + ... + 14984.

It is an arithmetic number, because the mean of its divisors is an integer number (1181925).

Almost surely, 2^41516160 is an apocalyptic number.

41516160 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 41516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75643200).

41516160 is an abundant number, since it is smaller than the sum of its proper divisors (109770240).

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

41516160 is a wasteful number, since it uses less digits than its factorization.

41516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 41516160 is about 6443.3035005345. The cubic root of 41516160 is about 346.2627115892.

Adding to 41516160 its reverse (6161514), we get a palindrome (47677674).

The spelling of 41516160 in words is "forty-one million, five hundred sixteen thousand, one hundred sixty".