41000820 has 96 divisors (see below), whose sum is σ = 134459136. Its totient is φ = 9139200.

The previous prime is 41000819. The next prime is 41000837. The reversal of 41000820 is 2800014.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41000820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16030 + ... + 18410.

It is an arithmetic number, because the mean of its divisors is an integer number (1400616).

Almost surely, 2^41000820 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 41000820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67229568).

41000820 is an abundant number, since it is smaller than the sum of its proper divisors (93458316).

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

41000820 is a wasteful number, since it uses less digits than its factorization.

41000820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 41000820 is about 6403.1882683551. The cubic root of 41000820 is about 344.8240228344.

Adding to 41000820 its reverse (2800014), we get a palindrome (43800834).

The spelling of 41000820 in words is "forty-one million, eight hundred twenty", and thus it is an aban number.