41582016 has 84 divisors (see below), whose sum is σ = 136227312. Its totient is φ = 11879424.

The previous prime is 41582011. The next prime is 41582029. The reversal of 41582016 is 61028514.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41582011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1125 + ... + 9188.

Almost surely, 2^41582016 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 41582016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68113656).

41582016 is an abundant number, since it is smaller than the sum of its proper divisors (94645296).

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

41582016 is a wasteful number, since it uses less digits than its factorization.

41582016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10338 (or 10325 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 41582016 is about 6448.4118975140. The cubic root of 41582016 is about 346.4457040290.

The spelling of 41582016 in words is "forty-one million, five hundred eighty-two thousand, sixteen".