41842800 has 180 divisors, whose sum is σ = 148416840. Its totient is φ = 10913280.

The previous prime is 41842799. The next prime is 41842813. The reversal of 41842800 is 824814.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 212302 + ... + 212498.

It is an arithmetic number, because the mean of its divisors is an integer number (824538).

Almost surely, 2^41842800 is an apocalyptic number.

41842800 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 41842800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74208420).

41842800 is an abundant number, since it is smaller than the sum of its proper divisors (106574040).

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

41842800 is a wasteful number, since it uses less digits than its factorization.

41842800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 41842800 is about 6468.6010852425. The cubic root of 41842800 is about 347.1684465935.

The spelling of 41842800 in words is "forty-one million, eight hundred forty-two thousand, eight hundred".