11002024919040 has 256 divisors, whose sum is σ = 35321104304640. Its totient is φ = 2924276613120.

The previous prime is 11002024918991. The next prime is 11002024919087. The reversal of 11002024919040 is 4091942020011.

It is a tau number, because it is divible by the number of its divisors (256).

It is a junction number, because it is equal to n+sod(n) for n = 11002024918992 and 11002024919010.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 150860185 + ... + 150933095.

It is an arithmetic number, because the mean of its divisors is an integer number (137973063690).

Almost surely, 2^{11002024919040} is an apocalyptic number.

11002024919040 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 11002024919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17660552152320).

11002024919040 is an abundant number, since it is smaller than the sum of its proper divisors (24319079385600).

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

11002024919040 is an frugal number, since it uses more digits than its factorization.

11002024919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73256 (or 73228 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

Adding to 11002024919040 its reverse (4091942020011), we get a palindrome (15093966939051).

The spelling of 11002024919040 in words is "eleven trillion, two billion, twenty-four million, nine hundred nineteen thousand, forty".