41980032 has 80 divisors (see below), whose sum is σ = 124962750. Its totient is φ = 13989888.

The previous prime is 41980027. The next prime is 41980033. The reversal of 41980032 is 23008914.

It can be written as a sum of positive squares in only one way, i.e., 39237696 + 2742336 = 6264^2 + 1656^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41979978 and 41980005.

It is not an unprimeable number, because it can be changed into a prime (41980033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8344 + ... + 12392.

Almost surely, 2^41980032 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 41980032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62481375).

41980032 is an abundant number, since it is smaller than the sum of its proper divisors (82982718).

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

41980032 is an equidigital number, since it uses as much as digits as its factorization.

41980032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 41980032 is about 6479.1999506112. The cubic root of 41980032 is about 347.5475690103.

Adding to 41980032 its reverse (23008914), we get a palindrome (64988946).

The spelling of 41980032 in words is "forty-one million, nine hundred eighty thousand, thirty-two".