41032000 has 112 divisors (see below), whose sum is σ = 106509312. Its totient is φ = 15628800.

The previous prime is 41031997. The next prime is 41032027. The reversal of 41032000 is 23014.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183889 + ... + 184111.

It is an arithmetic number, because the mean of its divisors is an integer number (950976).

Almost surely, 2^41032000 is an apocalyptic number.

41032000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53254656).

41032000 is an abundant number, since it is smaller than the sum of its proper divisors (65477312).

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

41032000 is a wasteful number, since it uses less digits than its factorization.

41032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 41032000 is about 6405.6225302464. The cubic root of 41032000 is about 344.9114104261.

Adding to 41032000 its reverse (23014), we get a palindrome (41055014).

The spelling of 41032000 in words is "forty-one million, thirty-two thousand".