110040014144 has 56 divisors (see below), whose sum is σ = 224823043368. Its totient is φ = 53405327360.

The previous prime is 110040014087. The next prime is 110040014173. The reversal of 110040014144 is 441410040011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25126054144 + 84913960000 = 158512^2 + 291400^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 410492 + ... + 623364.

It is an arithmetic number, because the mean of its divisors is an integer number (4014697203).

Almost surely, 2^110040014144 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 110040014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112411521684).

110040014144 is an abundant number, since it is smaller than the sum of its proper divisors (114783029224).

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

110040014144 is a wasteful number, since it uses less digits than its factorization.

110040014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213123 (or 213113 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 110040014144 its reverse (441410040011), we get a palindrome (551450054155).

The spelling of 110040014144 in words is "one hundred ten billion, forty million, fourteen thousand, one hundred forty-four".