110432412320040 has 96 divisors (see below), whose sum is σ = 380017418887080. Its totient is φ = 27716370149376.

The previous prime is 110432412320033. The next prime is 110432412320053. The reversal of 110432412320040 is 40023214234011.

110432412320040 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 3 + 2 + 412 + 3 + 200 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 99557969559876 + 10874442760164 = 9977874^2 + 3297642^2 .

It is a super-3 number, since 3×110432412320040³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110432412319986 and 110432412320013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9022249789 + ... + 9022262028.

Almost surely, 2^{110432412320040} is an apocalyptic number.

110432412320040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110432412320040 is an abundant number, since it is smaller than the sum of its proper divisors (269585006567040).

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

110432412320040 is a wasteful number, since it uses less digits than its factorization.

110432412320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18044511851 (or 18044511844 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 110432412320040 its reverse (40023214234011), we get a palindrome (150455626554051).

The spelling of 110432412320040 in words is "one hundred ten trillion, four hundred thirty-two billion, four hundred twelve million, three hundred twenty thousand, forty".