40220441130000 has 200 divisors, whose sum is σ = 130222252265248. Its totient is φ = 10693622016000.

The previous prime is 40220441129993. The next prime is 40220441130019. The reversal of 40220441130000 is 3114402204.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8120859 + ... + 12099141.

Almost surely, 2^{40220441130000} is an apocalyptic number.

40220441130000 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 40220441130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65111126132624).

40220441130000 is an abundant number, since it is smaller than the sum of its proper divisors (90001811135248).

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

40220441130000 is a wasteful number, since it uses less digits than its factorization.

40220441130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978651 (or 3978630 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 40220441130000 its reverse (3114402204), we get a palindrome (40223555532204).

The spelling of 40220441130000 in words is "forty trillion, two hundred twenty billion, four hundred forty-one million, one hundred thirty thousand".