11002142240 has 24 divisors (see below), whose sum is σ = 25992561420. Its totient is φ = 4400856832.

The previous prime is 11002142231. The next prime is 11002142243. The reversal of 11002142240 is 4224120011.

11002142240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9512491024 + 1489651216 = 97532^2 + 38596^2 .

It is a super-3 number, since 3×11002142240³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11002142243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34381535 + ... + 34381854.

Almost surely, 2^11002142240 is an apocalyptic number.

11002142240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002142240 is an abundant number, since it is smaller than the sum of its proper divisors (14990419180).

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

11002142240 is an equidigital number, since it uses as much as digits as its factorization.

11002142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68763404 (or 68763396 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 11002142240 its reverse (4224120011), we get a palindrome (15226262251).

The spelling of 11002142240 in words is "eleven billion, two million, one hundred forty-two thousand, two hundred forty".