41821200 has 90 divisors (see below), whose sum is σ = 145143674. Its totient is φ = 11151360.

The previous prime is 41821177. The next prime is 41821217. The reversal of 41821200 is 212814.

It can be written as a sum of positive squares in 3 ways, for example, as 1218816 + 40602384 = 1104^2 + 6372^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2209 + ... + 9408.

Almost surely, 2^41821200 is an apocalyptic number.

41821200 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 41821200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72571837).

41821200 is an abundant number, since it is smaller than the sum of its proper divisors (103322474).

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

41821200 is a wasteful number, since it uses less digits than its factorization.

41821200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11641 (or 11627 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 41821200 is about 6466.9312660643. The cubic root of 41821200 is about 347.1086981289.

The spelling of 41821200 in words is "forty-one million, eight hundred twenty-one thousand, two hundred".