40322432200 has 96 divisors (see below), whose sum is σ = 94357476360. Its totient is φ = 16024780800.

The previous prime is 40322432177. The next prime is 40322432207. The reversal of 40322432200 is 223422304.

It can be written as a sum of positive squares in 12 ways, for example, as 26687556 + 40295744644 = 5166^2 + 200738^2 .

It is not an unprimeable number, because it can be changed into a prime (40322432207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24333772 + ... + 24335428.

Almost surely, 2^40322432200 is an apocalyptic number.

40322432200 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 40322432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47178738180).

40322432200 is an abundant number, since it is smaller than the sum of its proper divisors (54035044160).

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

40322432200 is a wasteful number, since it uses less digits than its factorization.

40322432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 40322432200 its reverse (223422304), we get a palindrome (40545854504).

The spelling of 40322432200 in words is "forty billion, three hundred twenty-two million, four hundred thirty-two thousand, two hundred".