1311114430404 has 144 divisors (see below), whose sum is σ = 3456942128640. Its totient is φ = 418521116160.

The previous prime is 1311114430399. The next prime is 1311114430421. The reversal of 1311114430404 is 4040344111131.

1311114430404 is a `hidden beast` number, since 1 + 3 + 111 + 144 + 3 + 0 + 404 = 666.

It is a super-2 number, since 2×1311114430404² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100593072 + ... + 100606104.

It is an arithmetic number, because the mean of its divisors is an integer number (24006542560).

Almost surely, 2^{1311114430404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311114430404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728471064320).

1311114430404 is an abundant number, since it is smaller than the sum of its proper divisors (2145827698236).

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

1311114430404 is a wasteful number, since it uses less digits than its factorization.

1311114430404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14010 (or 14005 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1311114430404 its reverse (4040344111131), we get a palindrome (5351458541535).

The spelling of 1311114430404 in words is "one trillion, three hundred eleven billion, one hundred fourteen million, four hundred thirty thousand, four hundred four".