11011001110140 has 192 divisors, whose sum is σ = 31563586897920. Its totient is φ = 2867204071680.

The previous prime is 11011001110063. The next prime is 11011001110141. The reversal of 11011001110140 is 4101110011011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011001110141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 355970475 + ... + 356001405.

It is an arithmetic number, because the mean of its divisors is an integer number (164393681760).

Almost surely, 2^{11011001110140} is an apocalyptic number.

11011001110140 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 11011001110140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15781793448960).

11011001110140 is an abundant number, since it is smaller than the sum of its proper divisors (20552585787780).

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

11011001110140 is a wasteful number, since it uses less digits than its factorization.

11011001110140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31672 (or 31670 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11011001110140 its reverse (4101110011011), we get a palindrome (15112111121151).

The spelling of 11011001110140 in words is "eleven trillion, eleven billion, one million, one hundred ten thousand, one hundred forty".