41328000 has 384 divisors, whose sum is σ = 173759040. Its totient is φ = 9216000.

The previous prime is 41327999. The next prime is 41328013. The reversal of 41328000 is 82314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007980 + ... + 1008020.

Almost surely, 2^41328000 is an apocalyptic number.

41328000 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 41328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86879520).

41328000 is an abundant number, since it is smaller than the sum of its proper divisors (132431040).

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

41328000 is a wasteful number, since it uses less digits than its factorization.

41328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 41328000 is about 6428.6857132699. The cubic root of 41328000 is about 345.7388074104.

The spelling of 41328000 in words is "forty-one million, three hundred twenty-eight thousand".