41001000 has 128 divisors (see below), whose sum is σ = 130291200. Its totient is φ = 10732800.

The previous prime is 41000987. The next prime is 41001001. The reversal of 41001000 is 10014.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41001000.

It is not an unprimeable number, because it can be changed into a prime (41001001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236914 + ... + 237086.

It is an arithmetic number, because the mean of its divisors is an integer number (1017900).

Almost surely, 2^41001000 is an apocalyptic number.

41001000 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 41001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65145600).

41001000 is an abundant number, since it is smaller than the sum of its proper divisors (89290200).

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

41001000 is a wasteful number, since it uses less digits than its factorization.

41001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 41001000 is about 6403.2023238377. The cubic root of 41001000 is about 344.8245274441.

Adding to 41001000 its reverse (10014), we get a palindrome (41011014).

The spelling of 41001000 in words is "forty-one million, one thousand".