11000443144140 has 144 divisors (see below), whose sum is σ = 34598728644480. Its totient is φ = 2825725969920.

The previous prime is 11000443144121. The next prime is 11000443144147. The reversal of 11000443144140 is 4144134400011.

11000443144140 is a `hidden beast` number, since 110 + 0 + 0 + 44 + 31 + 441 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (11000443144147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194919 + ... + 4694558.

It is an arithmetic number, because the mean of its divisors is an integer number (240268948920).

Almost surely, 2^{11000443144140} is an apocalyptic number.

11000443144140 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 11000443144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17299364322240).

11000443144140 is an abundant number, since it is smaller than the sum of its proper divisors (23598285500340).

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

11000443144140 is a wasteful number, since it uses less digits than its factorization.

11000443144140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4889952 (or 4889947 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 11000443144140 its reverse (4144134400011), we get a palindrome (15144577544151).

The spelling of 11000443144140 in words is "eleven trillion, four hundred forty-three million, one hundred forty-four thousand, one hundred forty".