11168834040 has 1024 divisors, whose sum is σ = 49196851200. Its totient is φ = 2217093120.

The previous prime is 11168833999. The next prime is 11168834179. The reversal of 11168834040 is 4043886111.

It is a happy number.

11168834040 is a `hidden beast` number, since 11 + 168 + 83 + 404 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11168833986 and 11168834004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 183095610 + ... + 183095670.

It is an arithmetic number, because the mean of its divisors is an integer number (48043800).

Almost surely, 2^11168834040 is an apocalyptic number.

11168834040 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 11168834040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24598425600).

11168834040 is an abundant number, since it is smaller than the sum of its proper divisors (38028017160).

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

11168834040 is a wasteful number, since it uses less digits than its factorization.

11168834040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11168834040 in words is "eleven billion, one hundred sixty-eight million, eight hundred thirty-four thousand, forty".