41033000 has 64 divisors (see below), whose sum is σ = 98701200. Its totient is φ = 15955200.

The previous prime is 41032993. The next prime is 41033009. The reversal of 41033000 is 33014.

It can be written as a sum of positive squares in 8 ways, for example, as 252004 + 40780996 = 502^2 + 6386^2 .

It is not an unprimeable number, because it can be changed into a prime (41033009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36446 + ... + 37554.

Almost surely, 2^41033000 is an apocalyptic number.

41033000 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 41033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49350600).

41033000 is an abundant number, since it is smaller than the sum of its proper divisors (57668200).

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

41033000 is a wasteful number, since it uses less digits than its factorization.

41033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 41033000 is about 6405.7005861966. The cubic root of 41033000 is about 344.9142123742.

Adding to 41033000 its reverse (33014), we get a palindrome (41066014).

The spelling of 41033000 in words is "forty-one million, thirty-three thousand".