11331443440404 has 72 divisors (see below), whose sum is σ = 28810811975400. Its totient is φ = 3755128430592.

The previous prime is 11331443440397. The next prime is 11331443440451. The reversal of 11331443440404 is 40404434413311.

11331443440404 is a `hidden beast` number, since 1 + 1 + 33 + 144 + 3 + 440 + 40 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 790057877904 + 10541385562500 = 888852^2 + 3246750^2 .

It is a super-2 number, since 2×11331443440404² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3212032 + ... + 5742824.

It is an arithmetic number, because the mean of its divisors is an integer number (400150166325).

Almost surely, 2^{11331443440404} is an apocalyptic number.

It is an amenable number.

11331443440404 is an abundant number, since it is smaller than the sum of its proper divisors (17479368534996).

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

11331443440404 is a wasteful number, since it uses less digits than its factorization.

11331443440404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531529 (or 2531524 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 11331443440404 its reverse (40404434413311), we get a palindrome (51735877853715).

The spelling of 11331443440404 in words is "eleven trillion, three hundred thirty-one billion, four hundred forty-three million, four hundred forty thousand, four hundred four".