11042188128 has 144 divisors (see below), whose sum is σ = 32907210336. Its totient is φ = 3505582080.

The previous prime is 11042188111. The next prime is 11042188133. The reversal of 11042188128 is 82188124011.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 11042188092 and 11042188101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1592926 + ... + 1599842.

It is an arithmetic number, because the mean of its divisors is an integer number (228522294).

Almost surely, 2^11042188128 is an apocalyptic number.

11042188128 is a gapful number since it is divisible by the number (18) 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 11042188128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16453605168).

11042188128 is an abundant number, since it is smaller than the sum of its proper divisors (21865022208).

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

11042188128 is a wasteful number, since it uses less digits than its factorization.

11042188128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7197 (or 7186 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The spelling of 11042188128 in words is "eleven billion, forty-two million, one hundred eighty-eight thousand, one hundred twenty-eight".