440113233121120 has 192 divisors, whose sum is σ = 1130120167841280. Its totient is φ = 160998583910400.

The previous prime is 440113233121109. The next prime is 440113233121183. The reversal of 440113233121120 is 21121332311044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2836416340 + ... + 2836571500.

It is an arithmetic number, because the mean of its divisors is an integer number (5886042540840).

Almost surely, 2^{440113233121120} is an apocalyptic number.

440113233121120 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 440113233121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565060083920640).

440113233121120 is an abundant number, since it is smaller than the sum of its proper divisors (690006934720160).

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

440113233121120 is a wasteful number, since it uses less digits than its factorization.

440113233121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167809 (or 167801 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 440113233121120 its reverse (21121332311044), we get a palindrome (461234565432164).

The spelling of 440113233121120 in words is "four hundred forty trillion, one hundred thirteen billion, two hundred thirty-three million, one hundred twenty-one thousand, one hundred twenty".