41963760 has 120 divisors (see below), whose sum is σ = 142178400. Its totient is φ = 11091456.

The previous prime is 41963759. The next prime is 41963771. The reversal of 41963760 is 6736914.

41963760 is a `hidden beast` number, since 4 + 19 + 637 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120066 + ... + 120414.

It is an arithmetic number, because the mean of its divisors is an integer number (1184820).

Almost surely, 2^41963760 is an apocalyptic number.

41963760 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 41963760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71089200).

41963760 is an abundant number, since it is smaller than the sum of its proper divisors (100214640).

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

41963760 is a wasteful number, since it uses less digits than its factorization.

41963760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 41963760 is about 6477.9441183141. The cubic root of 41963760 is about 347.5026585722.

The spelling of 41963760 in words is "forty-one million, nine hundred sixty-three thousand, seven hundred sixty".