11031168116040 has 256 divisors, whose sum is σ = 35100723409920. Its totient is φ = 2763828756480.

The previous prime is 11031168116029. The next prime is 11031168116053. The reversal of 11031168116040 is 4061186113011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11031168115992 and 11031168116010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5220618024 + ... + 5220620136.

It is an arithmetic number, because the mean of its divisors is an integer number (137112200820).

Almost surely, 2^{11031168116040} is an apocalyptic number.

11031168116040 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 11031168116040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17550361704960).

11031168116040 is an abundant number, since it is smaller than the sum of its proper divisors (24069555293880).

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

11031168116040 is a wasteful number, since it uses less digits than its factorization.

11031168116040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352 (or 5348 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The spelling of 11031168116040 in words is "eleven trillion, thirty-one billion, one hundred sixty-eight million, one hundred sixteen thousand, forty".