41802000 has 80 divisors (see below), whose sum is σ = 134788992. Its totient is φ = 11145600.

The previous prime is 41801999. The next prime is 41802067. The reversal of 41802000 is 20814.

41802000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 2517 + ... + 9483.

Almost surely, 2^41802000 is an apocalyptic number.

41802000 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 41802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67394496).

41802000 is an abundant number, since it is smaller than the sum of its proper divisors (92986992).

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

41802000 is a wasteful number, since it uses less digits than its factorization.

41802000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6993 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 41802000 is about 6465.4466203040. The cubic root of 41802000 is about 347.0555711092.

Adding to 41802000 its reverse (20814), we get a palindrome (41822814).

The spelling of 41802000 in words is "forty-one million, eight hundred two thousand".