110042032240140 has 1536 divisors, whose sum is σ = 425466791092224. Its totient is φ = 20516815503360.

The previous prime is 110042032240123. The next prime is 110042032240229. The reversal of 110042032240140 is 41042230240011.

It is a super-2 number, since 2×110042032240140² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110042032240140.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 150125555214 + ... + 150125555946.

It is an arithmetic number, because the mean of its divisors is an integer number (276996608784).

Almost surely, 2^{110042032240140} is an apocalyptic number.

110042032240140 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 110042032240140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212733395546112).

110042032240140 is an abundant number, since it is smaller than the sum of its proper divisors (315424758852084).

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

110042032240140 is a wasteful number, since it uses less digits than its factorization.

110042032240140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 110042032240140 its reverse (41042230240011), we get a palindrome (151084262480151).

The spelling of 110042032240140 in words is "one hundred ten trillion, forty-two billion, thirty-two million, two hundred forty thousand, one hundred forty".