11045004040 has 128 divisors (see below), whose sum is σ = 30565900800. Its totient is φ = 3505582080.

The previous prime is 11045004031. The next prime is 11045004053. The reversal of 11045004040 is 4040054011.

It is a super-2 number, since 2×11045004040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11045003999 and 11045004017.

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 31 ways as a sum of consecutive naturals, for example, 271341 + ... + 309379.

It is an arithmetic number, because the mean of its divisors is an integer number (238796100).

Almost surely, 2^11045004040 is an apocalyptic number.

11045004040 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 11045004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15282950400).

11045004040 is an abundant number, since it is smaller than the sum of its proper divisors (19520896760).

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

11045004040 is a wasteful number, since it uses less digits than its factorization.

11045004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38135 (or 38131 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 11045004040 its reverse (4040054011), we get a palindrome (15085058051).

The spelling of 11045004040 in words is "eleven billion, forty-five million, four thousand, forty".