41205000 has 160 divisors (see below), whose sum is σ = 133832160. Its totient is φ = 10560000.

The previous prime is 41204993. The next prime is 41205001. The reversal of 41205000 is 50214.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41205001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 614967 + ... + 615033.

It is an arithmetic number, because the mean of its divisors is an integer number (836451).

Almost surely, 2^41205000 is an apocalyptic number.

41205000 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 41205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66916080).

41205000 is an abundant number, since it is smaller than the sum of its proper divisors (92627160).

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

41205000 is a wasteful number, since it uses less digits than its factorization.

41205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 41205000 is about 6419.1120881318. The cubic root of 41205000 is about 345.3954717254.

Adding to 41205000 its reverse (50214), we get a palindrome (41255214).

The spelling of 41205000 in words is "forty-one million, two hundred five thousand".