1331121440424 has 128 divisors (see below), whose sum is σ = 3516477972480. Its totient is φ = 419236473600.

The previous prime is 1331121440419. The next prime is 1331121440449. The reversal of 1331121440424 is 4240441211331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1331121440391 and 1331121440400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94593309 + ... + 94607379.

It is an arithmetic number, because the mean of its divisors is an integer number (27472484160).

Almost surely, 2^{1331121440424} 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 1331121440424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758238986240).

1331121440424 is an abundant number, since it is smaller than the sum of its proper divisors (2185356532056).

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

1331121440424 is a wasteful number, since it uses less digits than its factorization.

1331121440424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17111 (or 17107 counting only the distinct ones).

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

Adding to 1331121440424 its reverse (4240441211331), we get a palindrome (5571562651755).

The spelling of 1331121440424 in words is "one trillion, three hundred thirty-one billion, one hundred twenty-one million, four hundred forty thousand, four hundred twenty-four".