1103314343040 has 768 divisors, whose sum is σ = 4697054369280. Its totient is φ = 232391835648.

The previous prime is 1103314343009. The next prime is 1103314343063. The reversal of 1103314343040 is 403434133011.

1103314343040 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 314 + 343 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1103314342995 and 1103314343013.

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, 389449464 + ... + 389452296.

It is an arithmetic number, because the mean of its divisors is an integer number (6115956210).

Almost surely, 2^{1103314343040} is an apocalyptic number.

1103314343040 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 1103314343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348527184640).

1103314343040 is an abundant number, since it is smaller than the sum of its proper divisors (3593740026240).

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

1103314343040 is a wasteful number, since it uses less digits than its factorization.

1103314343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1103314343040 its reverse (403434133011), we get a palindrome (1506748476051).

The spelling of 1103314343040 in words is "one trillion, one hundred three billion, three hundred fourteen million, three hundred forty-three thousand, forty".