11142141040 has 80 divisors (see below), whose sum is σ = 27138441600. Its totient is φ = 4248631296.

The previous prime is 11142141019. The next prime is 11142141041. The reversal of 11142141040 is 4014124111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11142140999 and 11142141017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11142141041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152884 + ... + 213676.

It is an arithmetic number, because the mean of its divisors is an integer number (339230520).

Almost surely, 2^11142141040 is an apocalyptic number.

11142141040 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 11142141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13569220800).

11142141040 is an abundant number, since it is smaller than the sum of its proper divisors (15996300560).

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

11142141040 is a wasteful number, since it uses less digits than its factorization.

11142141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60914 (or 60908 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 11142141040 its reverse (4014124111), we get a palindrome (15156265151).

The spelling of 11142141040 in words is "eleven billion, one hundred forty-two million, one hundred forty-one thousand, forty".