40221200 has 60 divisors (see below), whose sum is σ = 97318548. Its totient is φ = 15974400.

The previous prime is 40221199. The next prime is 40221221. The reversal of 40221200 is 212204.

It can be written as a sum of positive squares in 6 ways, for example, as 5740816 + 34480384 = 2396^2 + 5872^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76940 + ... + 77460.

Almost surely, 2^40221200 is an apocalyptic number.

40221200 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 40221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48659274).

40221200 is an abundant number, since it is smaller than the sum of its proper divisors (57097348).

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

40221200 is a wasteful number, since it uses less digits than its factorization.

40221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 40221200 is about 6342.0186060907. The cubic root of 40221200 is about 342.6244419668.

Adding to 40221200 its reverse (212204), we get a palindrome (40433404).

The spelling of 40221200 in words is "forty million, two hundred twenty-one thousand, two hundred".