11440531530000 has 1000 divisors, whose sum is σ = 42236712400608. Its totient is φ = 2988036864000.

The previous prime is 11440531529909. The next prime is 11440531530007. The reversal of 11440531530000 is 3513504411.

It is a happy number.

11440531530000 is a `hidden beast` number, since 1 + 1 + 4 + 40 + 5 + 315 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11440531530007) by changing a digit.

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 199 ways as a sum of consecutive naturals, for example, 9638189407 + ... + 9638190593.

Almost surely, 2^{11440531530000} is an apocalyptic number.

11440531530000 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 11440531530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21118356200304).

11440531530000 is an abundant number, since it is smaller than the sum of its proper divisors (30796180870608).

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

11440531530000 is a wasteful number, since it uses less digits than its factorization.

11440531530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 11440531530000 in words is "eleven trillion, four hundred forty billion, five hundred thirty-one million, five hundred thirty thousand".