41965560 has 384 divisors, whose sum is σ = 178113600. Its totient is φ = 8709120.

The previous prime is 41965543. The next prime is 41965603. The reversal of 41965560 is 6556914.

41965560 is a `hidden beast` number, since 4 + 1 + 96 + 5 + 560 = 666.

It is a super-2 number, since 2×41965560² = 3522216452227200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 687930 + ... + 687990.

Almost surely, 2^41965560 is an apocalyptic number.

41965560 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 41965560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89056800).

41965560 is an abundant number, since it is smaller than the sum of its proper divisors (136148040).

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

41965560 is a wasteful number, since it uses less digits than its factorization.

41965560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 41965560 is about 6478.0830497918. The cubic root of 41965560 is about 347.5076271121.

The spelling of 41965560 in words is "forty-one million, nine hundred sixty-five thousand, five hundred sixty".