110405431344 has 240 divisors, whose sum is σ = 330453611520. Its totient is φ = 31652674560.

The previous prime is 110405431321. The next prime is 110405431361. The reversal of 110405431344 is 443134504011.

110405431344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9395937 + ... + 9407679.

It is an arithmetic number, because the mean of its divisors is an integer number (1376890048).

Almost surely, 2^110405431344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110405431344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165226805760).

110405431344 is an abundant number, since it is smaller than the sum of its proper divisors (220048180176).

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

110405431344 is a wasteful number, since it uses less digits than its factorization.

110405431344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11860 (or 11841 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 110405431344 its reverse (443134504011), we get a palindrome (553539935355).

The spelling of 110405431344 in words is "one hundred ten billion, four hundred five million, four hundred thirty-one thousand, three hundred forty-four".