40220320212200 has 96 divisors (see below), whose sum is σ = 94446724007160. Its totient is φ = 15927386496000.

The previous prime is 40220320212197. The next prime is 40220320212263. The reversal of 40220320212200 is 221202302204.

It can be written as a sum of positive squares in 12 ways, for example, as 1999017065956 + 38221303146244 = 1413866^2 + 6182338^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 236598434 + ... + 236768366.

Almost surely, 2^{40220320212200} is an apocalyptic number.

40220320212200 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 40220320212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47223362003580).

40220320212200 is an abundant number, since it is smaller than the sum of its proper divisors (54226403794960).

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

40220320212200 is a wasteful number, since it uses less digits than its factorization.

40220320212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181767 (or 181758 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 40220320212200 its reverse (221202302204), we get a palindrome (40441522514404).

The spelling of 40220320212200 in words is "forty trillion, two hundred twenty billion, three hundred twenty million, two hundred twelve thousand, two hundred".