41589900 has 108 divisors (see below), whose sum is σ = 142246104. Its totient is φ = 10080000.

The previous prime is 41589893. The next prime is 41589907. The reversal of 41589900 is 998514.

41589900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41589893) and next prime (41589907).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41589907) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 7800 + ... + 12000.

Almost surely, 2^41589900 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 41589900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71123052).

41589900 is an abundant number, since it is smaller than the sum of its proper divisors (100656204).

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

41589900 is a wasteful number, since it uses less digits than its factorization.

41589900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 41589900 is about 6449.0231818470. The cubic root of 41589900 is about 346.4675981520.

The spelling of 41589900 in words is "forty-one million, five hundred eighty-nine thousand, nine hundred".