1311441555104 has 96 divisors (see below), whose sum is σ = 2728847149056. Its totient is φ = 619168112640.

The previous prime is 1311441555103. The next prime is 1311441555119. The reversal of 1311441555104 is 4015551441131.

It is a super-4 number, since 4×1311441555104⁴ (a number of 50 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311441555103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28319489 + ... + 28365759.

It is an arithmetic number, because the mean of its divisors is an integer number (28425491136).

Almost surely, 2^{1311441555104} 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 1311441555104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364423574528).

1311441555104 is an abundant number, since it is smaller than the sum of its proper divisors (1417405593952).

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

1311441555104 is a wasteful number, since it uses less digits than its factorization.

1311441555104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46798 (or 46790 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

Adding to 1311441555104 its reverse (4015551441131), we get a palindrome (5326992996235).

The spelling of 1311441555104 in words is "one trillion, three hundred eleven billion, four hundred forty-one million, five hundred fifty-five thousand, one hundred four".