110313412440 has 128 divisors (see below), whose sum is σ = 412600849920. Its totient is φ = 22922265600.

The previous prime is 110313412421. The next prime is 110313412441. The reversal of 110313412440 is 44214313011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 110313412440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110313412441) 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 31 ways as a sum of consecutive naturals, for example, 5960101 + ... + 5978580.

It is an arithmetic number, because the mean of its divisors is an integer number (3223444140).

Almost surely, 2^110313412440 is an apocalyptic number.

110313412440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110313412440 is an abundant number, since it is smaller than the sum of its proper divisors (302287437480).

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

110313412440 is a wasteful number, since it uses less digits than its factorization.

110313412440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11938713 (or 11938709 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 110313412440 its reverse (44214313011), we get a palindrome (154527725451).

It can be divided in two parts, 110313 and 412440, that added together give a triangular number (522753 = T₁₀₂₂).

The spelling of 110313412440 in words is "one hundred ten billion, three hundred thirteen million, four hundred twelve thousand, four hundred forty".