40221133130120 has 128 divisors (see below), whose sum is σ = 92586050231040. Its totient is φ = 15721355059200.

The previous prime is 40221133130099. The next prime is 40221133130153. The reversal of 40221133130120 is 2103133112204.

It is a super-3 number, since 3×40221133130120³ (a number of 42 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 873381095 + ... + 873427145.

It is an arithmetic number, because the mean of its divisors is an integer number (723328517430).

Almost surely, 2^{40221133130120} is an apocalyptic number.

40221133130120 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 40221133130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46293025115520).

40221133130120 is an abundant number, since it is smaller than the sum of its proper divisors (52364917100920).

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

40221133130120 is a wasteful number, since it uses less digits than its factorization.

40221133130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48895 (or 48891 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 40221133130120 its reverse (2103133112204), we get a palindrome (42324266242324).

The spelling of 40221133130120 in words is "forty trillion, two hundred twenty-one billion, one hundred thirty-three million, one hundred thirty thousand, one hundred twenty".