11140424120 has 128 divisors (see below), whose sum is σ = 29627596800. Its totient is φ = 3689280000.

The previous prime is 11140424069. The next prime is 11140424123. The reversal of 11140424120 is 2142404111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11140424092 and 11140424101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11140424123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6517826 + ... + 6519534.

It is an arithmetic number, because the mean of its divisors is an integer number (231465600).

Almost surely, 2^11140424120 is an apocalyptic number.

11140424120 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 11140424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14813798400).

11140424120 is an abundant number, since it is smaller than the sum of its proper divisors (18487172680).

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

11140424120 is a wasteful number, since it uses less digits than its factorization.

11140424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11140424120 its reverse (2142404111), we get a palindrome (13282828231).

The spelling of 11140424120 in words is "eleven billion, one hundred forty million, four hundred twenty-four thousand, one hundred twenty".