1113824300040 has 384 divisors, whose sum is σ = 3858158304000. Its totient is φ = 278089168896.

The previous prime is 1113824300027. The next prime is 1113824300051. The reversal of 1113824300040 is 400034283111.

1113824300040 is a `hidden beast` number, since 1 + 113 + 82 + 430 + 0 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1113824299977 and 1113824300013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74901726 + ... + 74916594.

It is an arithmetic number, because the mean of its divisors is an integer number (10047287250).

Almost surely, 2^{1113824300040} is an apocalyptic number.

1113824300040 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 1113824300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929079152000).

1113824300040 is an abundant number, since it is smaller than the sum of its proper divisors (2744334003960).

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

1113824300040 is a wasteful number, since it uses less digits than its factorization.

1113824300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15101 (or 15094 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1113824300040 its reverse (400034283111), we get a palindrome (1513858583151).

The spelling of 1113824300040 in words is "one trillion, one hundred thirteen billion, eight hundred twenty-four million, three hundred thousand, forty".