41382000 has 360 divisors, whose sum is σ = 167228880. Its totient is φ = 9504000.

The previous prime is 41381987. The next prime is 41382013. The reversal of 41382000 is 28314.

It is a happy number.

41382000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41381987) and next prime (41382013).

It is a tau number, because it is divible by the number of its divisors (360).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2177991 + ... + 2178009.

Almost surely, 2^41382000 is an apocalyptic number.

41382000 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 41382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83614440).

41382000 is an abundant number, since it is smaller than the sum of its proper divisors (125846880).

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

41382000 is a wasteful number, since it uses less digits than its factorization.

41382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 40 counting only the distinct ones).

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

The square root of 41382000 is about 6432.8842675739. The cubic root of 41382000 is about 345.8893249773.

The spelling of 41382000 in words is "forty-one million, three hundred eighty-two thousand".