11010344040720 has 120 divisors (see below), whose sum is σ = 36979772707800. Its totient is φ = 2935824365568.

The previous prime is 11010344040677. The next prime is 11010344040727. The reversal of 11010344040720 is 2704044301011.

11010344040720 is a `hidden beast` number, since 1 + 10 + 103 + 440 + 40 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74280231936 + 10936063808784 = 272544^2 + 3306972^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (11010344040727) 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 23 ways as a sum of consecutive naturals, for example, 7278916 + ... + 8660444.

It is an arithmetic number, because the mean of its divisors is an integer number (308164772565).

Almost surely, 2^{11010344040720} is an apocalyptic number.

11010344040720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11010344040720 is an abundant number, since it is smaller than the sum of its proper divisors (25969428667080).

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

11010344040720 is a wasteful number, since it uses less digits than its factorization.

11010344040720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392617 (or 1392608 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 11010344040720 its reverse (2704044301011), we get a palindrome (13714388341731).

The spelling of 11010344040720 in words is "eleven trillion, ten billion, three hundred forty-four million, forty thousand, seven hundred twenty".