41538966 has 48 divisors (see below), whose sum is σ = 100859904. Its totient is φ = 11350416.

The previous prime is 41538961. The next prime is 41538967. The reversal of 41538966 is 66983514.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41538961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3691 + ... + 9833.

It is an arithmetic number, because the mean of its divisors is an integer number (2101248).

Almost surely, 2^41538966 is an apocalyptic number.

41538966 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41538966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50429952).

41538966 is an abundant number, since it is smaller than the sum of its proper divisors (59320938).

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

41538966 is a wasteful number, since it uses less digits than its factorization.

41538966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6185 (or 6178 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 41538966 is about 6445.0730019139. The cubic root of 41538966 is about 346.3261039473.

The spelling of 41538966 in words is "forty-one million, five hundred thirty-eight thousand, nine hundred sixty-six".