41164300 has 36 divisors (see below), whose sum is σ = 90853560. Its totient is φ = 16184320.

The previous prime is 41164297. The next prime is 41164303. The reversal of 41164300 is 346114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41164297) and next prime (41164303).

It is not an unprimeable number, because it can be changed into a prime (41164303) 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 11 ways as a sum of consecutive naturals, for example, 2412 + ... + 9388.

It is an arithmetic number, because the mean of its divisors is an integer number (2523710).

Almost surely, 2^41164300 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 41164300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45426780).

41164300 is an abundant number, since it is smaller than the sum of its proper divisors (49689260).

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

41164300 is a wasteful number, since it uses less digits than its factorization.

41164300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7050 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 41164300 is about 6415.9410845175. The cubic root of 41164300 is about 345.2817134705.

The spelling of 41164300 in words is "forty-one million, one hundred sixty-four thousand, three hundred".