11006640044240 has 80 divisors (see below), whose sum is σ = 25869523275792. Its totient is φ = 4354694971392.

The previous prime is 11006640044233. The next prime is 11006640044249. The reversal of 11006640044240 is 4244004660011.

It can be written as a sum of positive squares in 8 ways, for example, as 816218288704 + 10190421755536 = 903448^2 + 3192244^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11006640044240² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11006640044197 and 11006640044206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006640044249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12750812 + ... + 13586628.

Almost surely, 2^{11006640044240} is an apocalyptic number.

11006640044240 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 11006640044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12934761637896).

11006640044240 is an abundant number, since it is smaller than the sum of its proper divisors (14862883231552).

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

11006640044240 is a wasteful number, since it uses less digits than its factorization.

11006640044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837624 (or 837618 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 11006640044240 in words is "eleven trillion, six billion, six hundred forty million, forty-four thousand, two hundred forty".