41905332 has 72 divisors (see below), whose sum is σ = 121867200. Its totient is φ = 11893248.

The previous prime is 41905309. The next prime is 41905387. The reversal of 41905332 is 23350914.

41905332 is a `hidden beast` number, since 41 + 90 + 533 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41905296 and 41905305.

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, 44644 + ... + 45572.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 2^41905332 is an apocalyptic number.

41905332 is a gapful number since it is divisible by the number (42) 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 41905332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60933600).

41905332 is an abundant number, since it is smaller than the sum of its proper divisors (79961868).

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

41905332 is a wasteful number, since it uses less digits than its factorization.

41905332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 41905332 is about 6473.4327833075. The cubic root of 41905332 is about 347.3413025517.

The spelling of 41905332 in words is "forty-one million, nine hundred five thousand, three hundred thirty-two".