41016960 has 96 divisors (see below), whose sum is σ = 141656580. Its totient is φ = 10936320.

The previous prime is 41016959. The next prime is 41016973. The reversal of 41016960 is 6961014.

It can be written as a sum of positive squares in 2 ways, for example, as 35141184 + 5875776 = 5928^2 + 2424^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2200 + ... + 9320.

Almost surely, 2^41016960 is an apocalyptic number.

41016960 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 41016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70828290).

41016960 is an abundant number, since it is smaller than the sum of its proper divisors (100639620).

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

41016960 is a wasteful number, since it uses less digits than its factorization.

41016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7146 (or 7131 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 41016960 is about 6404.4484540045. The cubic root of 41016960 is about 344.8692636337.

Adding to 41016960 its reverse (6961014), we get a palindrome (47977974).

The spelling of 41016960 in words is "forty-one million, sixteen thousand, nine hundred sixty".