1113330000040 has 64 divisors (see below), whose sum is σ = 2523993935760. Its totient is φ = 441965260800.

The previous prime is 1113329999981. The next prime is 1113330000113. The reversal of 1113330000040 is 400000333111.

It can be written as a sum of positive squares in 8 ways, for example, as 964045132164 + 149284867876 = 981858^2 + 386374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1113329999969 and 1113330000023.

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 15 ways as a sum of consecutive naturals, for example, 2983714 + ... + 3336046.

Almost surely, 2^{1113330000040} is an apocalyptic number.

1113330000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1113330000040 is an abundant number, since it is smaller than the sum of its proper divisors (1410663935720).

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

1113330000040 is a wasteful number, since it uses less digits than its factorization.

1113330000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352942 (or 352938 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1113330000040 its reverse (400000333111), we get a palindrome (1513330333151).

The spelling of 1113330000040 in words is "one trillion, one hundred thirteen billion, three hundred thirty million, forty", and thus it is an aban number.