110110100040 has 192 divisors, whose sum is σ = 361886616000. Its totient is φ = 29033934336.

The previous prime is 110110100039. The next prime is 110110100059. The reversal of 110110100040 is 40001011011.

110110100040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110110099995 and 110110100031.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12171759 + ... + 12180801.

It is an arithmetic number, because the mean of its divisors is an integer number (1884826125).

Almost surely, 2^110110100040 is an apocalyptic number.

110110100040 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 110110100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180943308000).

110110100040 is an abundant number, since it is smaller than the sum of its proper divisors (251776515960).

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

110110100040 is a wasteful number, since it uses less digits than its factorization.

110110100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9436 (or 9429 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110110100040 its reverse (40001011011), we get a palindrome (150111111051).

The spelling of 110110100040 in words is "one hundred ten billion, one hundred ten million, one hundred thousand, forty".