11490042144 has 288 divisors, whose sum is σ = 37864423296. Its totient is φ = 3030343680.

The previous prime is 11490042131. The next prime is 11490042149. The reversal of 11490042144 is 44124009411.

It is a super-2 number, since 2×11490042144² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11490042149) 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 47 ways as a sum of consecutive naturals, for example, 4236949 + ... + 4239659.

It is an arithmetic number, because the mean of its divisors is an integer number (131473692).

Almost surely, 2^11490042144 is an apocalyptic number.

11490042144 is a gapful number since it is divisible by the number (14) 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 11490042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18932211648).

11490042144 is an abundant number, since it is smaller than the sum of its proper divisors (26374381152).

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

11490042144 is a wasteful number, since it uses less digits than its factorization.

11490042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 11490042144 in words is "eleven billion, four hundred ninety million, forty-two thousand, one hundred forty-four".