41581000 has 64 divisors (see below), whose sum is σ = 99665280. Its totient is φ = 16228800.

The previous prime is 41580989. The next prime is 41581003. The reversal of 41581000 is 18514.

It is a super-2 number, since 2×41581000² = 3457959122000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41581003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42517 + ... + 43483.

It is an arithmetic number, because the mean of its divisors is an integer number (1557270).

Almost surely, 2^41581000 is an apocalyptic number.

41581000 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 41581000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49832640).

41581000 is an abundant number, since it is smaller than the sum of its proper divisors (58084280).

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

41581000 is a wasteful number, since it uses less digits than its factorization.

41581000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 41581000 is about 6448.3331179461. Note that the first 3 decimals coincide. The cubic root of 41581000 is about 346.4428823628.

Adding to 41581000 its reverse (18514), we get a palindrome (41599514).

The spelling of 41581000 in words is "forty-one million, five hundred eighty-one thousand".