11304422440311 has 32 divisors (see below), whose sum is σ = 20237287730688. Its totient is φ = 5420702067840.

The previous prime is 11304422440309. The next prime is 11304422440391.

It is a happy number.

11304422440311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11304422440311 - 2¹ = 11304422440309 is a prime.

It is a super-3 number, since 3×11304422440311³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304422440391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1882185216 + ... + 1882191221.

It is an arithmetic number, because the mean of its divisors is an integer number (632415241584).

Almost surely, 2^{11304422440311} is an apocalyptic number.

11304422440311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11304422440311 is a deficient number, since it is larger than the sum of its proper divisors (8932865290377).

11304422440311 is a wasteful number, since it uses less digits than its factorization.

11304422440311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764376471.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 1130442 and 2440311, that added together give a palindrome (3570753).

The spelling of 11304422440311 in words is "eleven trillion, three hundred four billion, four hundred twenty-two million, four hundred forty thousand, three hundred eleven".