11004443434440 has 192 divisors, whose sum is σ = 37333198758960. Its totient is φ = 2808400066560.

The previous prime is 11004443434417. The next prime is 11004443434469. The reversal of 11004443434440 is 4443434440011.

11004443434440 is a `hidden beast` number, since 1 + 100 + 44 + 43 + 4 + 34 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2023261587396 + 8981181847044 = 1422414^2 + 2996862^2 .

It is a super-2 number, since 2×11004443434440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11004443434395 and 11004443434404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5959279 + ... + 7584318.

Almost surely, 2^{11004443434440} is an apocalyptic number.

11004443434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11004443434440 is an abundant number, since it is smaller than the sum of its proper divisors (26328755324520).

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

11004443434440 is a wasteful number, since it uses less digits than its factorization.

11004443434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13543712 (or 13543705 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 11004443434440 its reverse (4443434440011), we get a palindrome (15447877874451).

The spelling of 11004443434440 in words is "eleven trillion, four billion, four hundred forty-three million, four hundred thirty-four thousand, four hundred forty".