41364000 has 192 divisors, whose sum is σ = 150958080. Its totient is φ = 11001600.

The previous prime is 41363983. The next prime is 41364017. The reversal of 41364000 is 46314.

It is an interprime number because it is at equal distance from previous prime (41363983) and next prime (41364017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 107809 + ... + 108191.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 2^41364000 is an apocalyptic number.

41364000 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 41364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

41364000 is an abundant number, since it is smaller than the sum of its proper divisors (109594080).

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

41364000 is a wasteful number, since it uses less digits than its factorization.

41364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 41364000 is about 6431.4850540136. The cubic root of 41364000 is about 345.8391670118.

The spelling of 41364000 in words is "forty-one million, three hundred sixty-four thousand".