41006960 has 40 divisors (see below), whose sum is σ = 95752800. Its totient is φ = 16332032.

The previous prime is 41006923. The next prime is 41006963. The reversal of 41006960 is 6960014.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41006963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20066 + ... + 22014.

It is an arithmetic number, because the mean of its divisors is an integer number (2393820).

Almost surely, 2^41006960 is an apocalyptic number.

41006960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41006960 is an abundant number, since it is smaller than the sum of its proper divisors (54745840).

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

41006960 is a wasteful number, since it uses less digits than its factorization.

41006960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 41006960 is about 6403.6676990612. The cubic root of 41006960 is about 344.8412347977.

Adding to 41006960 its reverse (6960014), we get a palindrome (47966974).

The spelling of 41006960 in words is "forty-one million, six thousand, nine hundred sixty".