11000337040 has 80 divisors (see below), whose sum is σ = 31886709120. Its totient is φ = 3428674560.

The previous prime is 11000337017. The next prime is 11000337041. The reversal of 11000337040 is 4073300011.

11000337040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11000336999 and 11000337017.

It is not an unprimeable number, because it can be changed into a prime (11000337041) 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 15 ways as a sum of consecutive naturals, for example, 886725 + ... + 899044.

It is an arithmetic number, because the mean of its divisors is an integer number (398583864).

Almost surely, 2^11000337040 is an apocalyptic number.

11000337040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000337040 is an abundant number, since it is smaller than the sum of its proper divisors (20886372080).

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

11000337040 is a wasteful number, since it uses less digits than its factorization.

11000337040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785800 (or 1785794 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

Adding to 11000337040 its reverse (4073300011), we get a palindrome (15073637051).

The spelling of 11000337040 in words is "eleven billion, three hundred thirty-seven thousand, forty".