41966540 has 144 divisors (see below), whose sum is σ = 118933920. Its totient is φ = 12257280.

The previous prime is 41966521. The next prime is 41966549. The reversal of 41966540 is 4566914.

It is a super-2 number, since 2×41966540² = 3522380959143200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 41966540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41966549) 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 47 ways as a sum of consecutive naturals, for example, 183146 + ... + 183374.

It is an arithmetic number, because the mean of its divisors is an integer number (825930).

Almost surely, 2^41966540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41966540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59466960).

41966540 is an abundant number, since it is smaller than the sum of its proper divisors (76967380).

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

41966540 is a wasteful number, since it uses less digits than its factorization.

41966540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 41966540 is about 6478.1586890103. The cubic root of 41966540 is about 347.5103321463.

The spelling of 41966540 in words is "forty-one million, nine hundred sixty-six thousand, five hundred forty".