1311454122440 has 256 divisors, whose sum is σ = 3784018360320. Its totient is φ = 397182320640.

The previous prime is 1311454122427. The next prime is 1311454122487. The reversal of 1311454122440 is 442214541131.

It is a junction number, because it is equal to n+sod(n) for n = 1311454122397 and 1311454122406.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 25535267 + ... + 25586573.

It is an arithmetic number, because the mean of its divisors is an integer number (14781321720).

Almost surely, 2^{1311454122440} is an apocalyptic number.

1311454122440 is a gapful number since it is divisible by the number (10) 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 1311454122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892009180160).

1311454122440 is an abundant number, since it is smaller than the sum of its proper divisors (2472564237880).

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

1311454122440 is a wasteful number, since it uses less digits than its factorization.

1311454122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51572 (or 51568 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 1311454122440 its reverse (442214541131), we get a palindrome (1753668663571).

The spelling of 1311454122440 in words is "one trillion, three hundred eleven billion, four hundred fifty-four million, one hundred twenty-two thousand, four hundred forty".