41966520 has 64 divisors (see below), whose sum is σ = 126627840. Its totient is φ = 11126400.

The previous prime is 41966461. The next prime is 41966521. The reversal of 41966520 is 2566914.

It is a super-2 number, since 2×41966520² = 3522377601820800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41966521) 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 15 ways as a sum of consecutive naturals, for example, 22005 + ... + 23835.

It is an arithmetic number, because the mean of its divisors is an integer number (1978560).

Almost surely, 2^41966520 is an apocalyptic number.

41966520 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 41966520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63313920).

41966520 is an abundant number, since it is smaller than the sum of its proper divisors (84661320).

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

41966520 is a wasteful number, since it uses less digits than its factorization.

41966520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 41966520 is about 6478.1571453616. The cubic root of 41966520 is about 347.5102769419.

It can be divided in two parts, 41966 and 520, that added together give a triangular number (42486 = T₂₉₁).

The spelling of 41966520 in words is "forty-one million, nine hundred sixty-six thousand, five hundred twenty".