41005632 has 84 divisors (see below), whose sum is σ = 115407440. Its totient is φ = 12847104.

The previous prime is 41005577. The next prime is 41005651. The reversal of 41005632 is 23650014.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 41005599 and 41005608.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55119 + ... + 55857.

Almost surely, 2^41005632 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 41005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57703720).

41005632 is an abundant number, since it is smaller than the sum of its proper divisors (74401808).

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

41005632 is a wasteful number, since it uses less digits than its factorization.

41005632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 41005632 is about 6403.5640076445. The cubic root of 41005632 is about 344.8375122255.

Adding to 41005632 its reverse (23650014), we get a palindrome (64655646).

The spelling of 41005632 in words is "forty-one million, five thousand, six hundred thirty-two".