41296960 has 112 divisors (see below), whose sum is σ = 106509312. Its totient is φ = 15206400.

The previous prime is 41296949. The next prime is 41296987. The reversal of 41296960 is 6969214.

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, 228070 + ... + 228250.

It is an arithmetic number, because the mean of its divisors is an integer number (950976).

Almost surely, 2^41296960 is an apocalyptic number.

41296960 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 41296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53254656).

41296960 is an abundant number, since it is smaller than the sum of its proper divisors (65212352).

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

41296960 is a wasteful number, since it uses less digits than its factorization.

41296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 41296960 is about 6426.2710804945. The cubic root of 41296960 is about 345.6522283321.

The spelling of 41296960 in words is "forty-one million, two hundred ninety-six thousand, nine hundred sixty".