1310433221440 has 112 divisors (see below), whose sum is σ = 3566995103232. Its totient is φ = 449197572096.

The previous prime is 1310433221429. The next prime is 1310433221477. The reversal of 1310433221440 is 441223340131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1310433221399 and 1310433221408.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11125737 + ... + 11242903.

Almost surely, 2^{1310433221440} is an apocalyptic number.

1310433221440 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 1310433221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783497551616).

1310433221440 is an abundant number, since it is smaller than the sum of its proper divisors (2256561881792).

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

1310433221440 is a wasteful number, since it uses less digits than its factorization.

1310433221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122184 (or 122174 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1310433221440 its reverse (441223340131), we get a palindrome (1751656561571).

The spelling of 1310433221440 in words is "one trillion, three hundred ten billion, four hundred thirty-three million, two hundred twenty-one thousand, four hundred forty".