11555440634304 has 448 divisors, whose sum is σ = 40904689945600. Its totient is φ = 3124918849536.

The previous prime is 11555440634293. The next prime is 11555440634377. The reversal of 11555440634304 is 40343604455511.

11555440634304 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 5 + 4 + 4 + 0 + 634 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11555440634304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256690902 + ... + 256735914.

Almost surely, 2^{11555440634304} is an apocalyptic number.

11555440634304 is a gapful number since it is divisible by the number (14) 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 11555440634304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20452344972800).

11555440634304 is an abundant number, since it is smaller than the sum of its proper divisors (29349249311296).

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

11555440634304 is a wasteful number, since it uses less digits than its factorization.

11555440634304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46177 (or 46161 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 11555440634304 in words is "eleven trillion, five hundred fifty-five billion, four hundred forty million, six hundred thirty-four thousand, three hundred four".