110111142440 has 64 divisors (see below), whose sum is σ = 267029254800. Its totient is φ = 40622671872.

The previous prime is 110111142439. The next prime is 110111142473. The reversal of 110111142440 is 44241111011.

It can be written as a sum of positive squares in 8 ways, for example, as 6260923876 + 103850218564 = 79126^2 + 322258^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543476 + ... + 718044.

Almost surely, 2^110111142440 is an apocalyptic number.

110111142440 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 110111142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133514627400).

110111142440 is an abundant number, since it is smaller than the sum of its proper divisors (156918112360).

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

110111142440 is a wasteful number, since it uses less digits than its factorization.

110111142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175806 (or 175802 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 110111142440 its reverse (44241111011), we get a palindrome (154352253451).

The spelling of 110111142440 in words is "one hundred ten billion, one hundred eleven million, one hundred forty-two thousand, four hundred forty".