40821800 has 48 divisors (see below), whose sum is σ = 95334300. Its totient is φ = 16256000.

The previous prime is 40821799. The next prime is 40821829. The reversal of 40821800 is 812804.

It can be written as a sum of positive squares in 6 ways, for example, as 34175716 + 6646084 = 5846^2 + 2578^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79946 + ... + 80454.

Almost surely, 2^40821800 is an apocalyptic number.

40821800 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 40821800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47667150).

40821800 is an abundant number, since it is smaller than the sum of its proper divisors (54512500).

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

40821800 is a wasteful number, since it uses less digits than its factorization.

40821800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 40821800 is about 6389.1940023762. The cubic root of 40821800 is about 344.3214275313.

The spelling of 40821800 in words is "forty million, eight hundred twenty-one thousand, eight hundred".