41632416 has 144 divisors (see below), whose sum is σ = 137277504. Its totient is φ = 11722752.

The previous prime is 41632397. The next prime is 41632417. The reversal of 41632416 is 61423614.

41632416 is a `hidden beast` number, since 416 + 3 + 241 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41632416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41632417) 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 23 ways as a sum of consecutive naturals, for example, 215616 + ... + 215808.

It is an arithmetic number, because the mean of its divisors is an integer number (953316).

Almost surely, 2^41632416 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 41632416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68638752).

41632416 is an abundant number, since it is smaller than the sum of its proper divisors (95645088).

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

41632416 is a wasteful number, since it uses less digits than its factorization.

41632416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 312 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 41632416 is about 6452.3186530115. The cubic root of 41632416 is about 346.5856187915.

The spelling of 41632416 in words is "forty-one million, six hundred thirty-two thousand, four hundred sixteen".