11142442080 has 1536 divisors, whose sum is σ = 53648179200. Its totient is φ = 2090188800.

The previous prime is 11142442043. The next prime is 11142442163. The reversal of 11142442080 is 8024424111.

11142442080 is a `hidden beast` number, since 1 + 1 + 142 + 442 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 259126539 + ... + 259126581.

It is an arithmetic number, because the mean of its divisors is an integer number (34927200).

Almost surely, 2^11142442080 is an apocalyptic number.

11142442080 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 11142442080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26824089600).

11142442080 is an abundant number, since it is smaller than the sum of its proper divisors (42505737120).

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

11142442080 is a wasteful number, since it uses less digits than its factorization.

11142442080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 11142442080 its reverse (8024424111), we get a palindrome (19166866191).

The spelling of 11142442080 in words is "eleven billion, one hundred forty-two million, four hundred forty-two thousand, eighty".