110032445332040 has 256 divisors, whose sum is σ = 309948906516480. Its totient is φ = 34153024988160.

The previous prime is 110032445331889. The next prime is 110032445332093. The reversal of 110032445332040 is 40233544230011.

It is a junction number, because it is equal to n+sod(n) for n = 110032445331988 and 110032445332006.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1575751607 + ... + 1575821433.

It is an arithmetic number, because the mean of its divisors is an integer number (1210737916080).

Almost surely, 2^{110032445332040} is an apocalyptic number.

110032445332040 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 110032445332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154974453258240).

110032445332040 is an abundant number, since it is smaller than the sum of its proper divisors (199916461184440).

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

110032445332040 is a wasteful number, since it uses less digits than its factorization.

110032445332040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71980 (or 71976 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 110032445332040 its reverse (40233544230011), we get a palindrome (150265989562051).

The spelling of 110032445332040 in words is "one hundred ten trillion, thirty-two billion, four hundred forty-five million, three hundred thirty-two thousand, forty".