11040303334440 has 256 divisors, whose sum is σ = 34457973350400. Its totient is φ = 2826791654400.

The previous prime is 11040303334429. The next prime is 11040303334441. The reversal of 11040303334440 is 4443330304011.

It is a super-2 number, since 2×11040303334440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11040303334398 and 11040303334407.

It is not an unprimeable number, because it can be changed into a prime (11040303334441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 315970491 + ... + 316005429.

It is an arithmetic number, because the mean of its divisors is an integer number (134601458400).

Almost surely, 2^{11040303334440} is an apocalyptic number.

11040303334440 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 11040303334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17228986675200).

11040303334440 is an abundant number, since it is smaller than the sum of its proper divisors (23417670015960).

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

11040303334440 is a wasteful number, since it uses less digits than its factorization.

11040303334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35648 (or 35644 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 11040303334440 its reverse (4443330304011), we get a palindrome (15483633638451).

The spelling of 11040303334440 in words is "eleven trillion, forty billion, three hundred three million, three hundred thirty-four thousand, four hundred forty".