11000640408 has 128 divisors (see below), whose sum is σ = 28832133120. Its totient is φ = 3493601280.

The previous prime is 11000640401. The next prime is 11000640437. The reversal of 11000640408 is 80404600011.

11000640408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11000640408² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000640401) 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 31 ways as a sum of consecutive naturals, for example, 22588341 + ... + 22588827.

It is an arithmetic number, because the mean of its divisors is an integer number (225251040).

Almost surely, 2^11000640408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000640408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14416066560).

11000640408 is an abundant number, since it is smaller than the sum of its proper divisors (17831492712).

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

11000640408 is a wasteful number, since it uses less digits than its factorization.

11000640408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 11000640408 in words is "eleven billion, six hundred forty thousand, four hundred eight".