11040304444320 has 192 divisors, whose sum is σ = 35567040176640. Its totient is φ = 2877372899328.

The previous prime is 11040304444303. The next prime is 11040304444369. The reversal of 11040304444320 is 2344440304011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15649924 + ... + 16340156.

It is an arithmetic number, because the mean of its divisors is an integer number (185245000920).

Almost surely, 2^{11040304444320} is an apocalyptic number.

11040304444320 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 11040304444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17783520088320).

11040304444320 is an abundant number, since it is smaller than the sum of its proper divisors (24526735732320).

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

11040304444320 is a wasteful number, since it uses less digits than its factorization.

11040304444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691007 (or 690999 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 11040304444320 its reverse (2344440304011), we get a palindrome (13384744748331).

The spelling of 11040304444320 in words is "eleven trillion, forty billion, three hundred four million, four hundred forty-four thousand, three hundred twenty".