110320013440 has 256 divisors, whose sum is σ = 325104192000. Its totient is φ = 34859778048.

The previous prime is 110320013437. The next prime is 110320013467. The reversal of 110320013440 is 44310023011.

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 31 ways as a sum of consecutive naturals, for example, 54103941 + ... + 54105979.

It is an arithmetic number, because the mean of its divisors is an integer number (1269938250).

Almost surely, 2^110320013440 is an apocalyptic number.

110320013440 is a gapful number since it is divisible by the number (10) 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 110320013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162552096000).

110320013440 is an abundant number, since it is smaller than the sum of its proper divisors (214784178560).

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

110320013440 is a wasteful number, since it uses less digits than its factorization.

110320013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 110320013440 its reverse (44310023011), we get a palindrome (154630036451).

The spelling of 110320013440 in words is "one hundred ten billion, three hundred twenty million, thirteen thousand, four hundred forty".