11440590130368 has 560 divisors, whose sum is σ = 40502563973120. Its totient is φ = 3163261248000.

The previous prime is 11440590130349. The next prime is 11440590130423. The reversal of 11440590130368 is 86303109504411.

11440590130368 is a `hidden beast` number, since 1 + 1 + 4 + 40 + 590 + 13 + 0 + 3 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 128572293 + ... + 128661243.

Almost surely, 2^{11440590130368} is an apocalyptic number.

11440590130368 is a gapful number since it is divisible by the number (18) 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 11440590130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20251281986560).

11440590130368 is an abundant number, since it is smaller than the sum of its proper divisors (29061973842752).

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

11440590130368 is an frugal number, since it uses more digits than its factorization.

11440590130368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89031 (or 88994 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

Adding to 11440590130368 its reverse (86303109504411), we get a palindrome (97743699634779).

The spelling of 11440590130368 in words is "eleven trillion, four hundred forty billion, five hundred ninety million, one hundred thirty thousand, three hundred sixty-eight".