11159942040 has 288 divisors, whose sum is σ = 39952926000. Its totient is φ = 2699633664.

The previous prime is 11159942029. The next prime is 11159942041. The reversal of 11159942040 is 4024995111.

It is a happy number.

11159942040 is a `hidden beast` number, since 1 + 1 + 1 + 599 + 4 + 20 + 40 = 666.

11159942040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11159941986 and 11159942004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11159942041) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3588006 + ... + 3591114.

Almost surely, 2^11159942040 is an apocalyptic number.

11159942040 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 11159942040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19976463000).

11159942040 is an abundant number, since it is smaller than the sum of its proper divisors (28792983960).

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

11159942040 is a wasteful number, since it uses less digits than its factorization.

11159942040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11159942040 in words is "eleven billion, one hundred fifty-nine million, nine hundred forty-two thousand, forty".