11003144204040 has 128 divisors (see below), whose sum is σ = 33590988748800. Its totient is φ = 2882543317760.

The previous prime is 11003144204029. The next prime is 11003144204077. The reversal of 11003144204040 is 4040244130011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11003144204040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10272625 + ... + 11293055.

It is an arithmetic number, because the mean of its divisors is an integer number (262429599600).

Almost surely, 2^{11003144204040} is an apocalyptic number.

11003144204040 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 11003144204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16795494374400).

11003144204040 is an abundant number, since it is smaller than the sum of its proper divisors (22587844544760).

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

11003144204040 is a wasteful number, since it uses less digits than its factorization.

11003144204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022027 (or 1022023 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11003144204040 its reverse (4040244130011), we get a palindrome (15043388334051).

The spelling of 11003144204040 in words is "eleven trillion, three billion, one hundred forty-four million, two hundred four thousand, forty".