11021142240 has 144 divisors (see below), whose sum is σ = 38319529248. Its totient is φ = 2883499008.

The previous prime is 11021142229. The next prime is 11021142259. The reversal of 11021142240 is 4224112011.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4117 + ... + 148523.

It is an arithmetic number, because the mean of its divisors is an integer number (266107842).

Almost surely, 2^11021142240 is an apocalyptic number.

11021142240 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 11021142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19159764624).

11021142240 is an abundant number, since it is smaller than the sum of its proper divisors (27298387008).

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

11021142240 is a wasteful number, since it uses less digits than its factorization.

11021142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144481 (or 144470 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11021142240 its reverse (4224112011), we get a palindrome (15245254251).

The spelling of 11021142240 in words is "eleven billion, twenty-one million, one hundred forty-two thousand, two hundred forty".