41456961 has 64 divisors (see below), whose sum is σ = 77414400. Its totient is φ = 21342528.

The previous prime is 41456957. The next prime is 41456969. The reversal of 41456961 is 16965414.

It is not a de Polignac number, because 41456961 - 2² = 41456957 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41456969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115300 + ... + 115658.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 2^41456961 is an apocalyptic number.

It is an amenable number.

41456961 is a deficient number, since it is larger than the sum of its proper divisors (35957439).

41456961 is a wasteful number, since it uses less digits than its factorization.

41456961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 41456961 is about 6438.7080225772. The cubic root of 41456961 is about 346.0980515543.

It can be divided in two parts, 414 and 56961, that added together give a palindrome (57375).

The spelling of 41456961 in words is "forty-one million, four hundred fifty-six thousand, nine hundred sixty-one".