41126832 has 160 divisors (see below), whose sum is σ = 126658560. Its totient is φ = 12752640.

The previous prime is 41126819. The next prime is 41126851. The reversal of 41126832 is 23862114.

41126832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 41126796 and 41126805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495463 + ... + 495545.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 2^41126832 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 41126832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63329280).

41126832 is an abundant number, since it is smaller than the sum of its proper divisors (85531728).

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

41126832 is a wasteful number, since it uses less digits than its factorization.

41126832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 41126832 is about 6413.0205051910. The cubic root of 41126832 is about 345.1769224878.

Adding to 41126832 its reverse (23862114), we get a palindrome (64988946).

The spelling of 41126832 in words is "forty-one million, one hundred twenty-six thousand, eight hundred thirty-two".