1321432301440 has 128 divisors (see below), whose sum is σ = 3178794585600. Its totient is φ = 525273090048.

The previous prime is 1321432301417. The next prime is 1321432301471. The reversal of 1321432301440 is 441032341231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1321432301399 and 1321432301408.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 239083957 + ... + 239089483.

It is an arithmetic number, because the mean of its divisors is an integer number (24834332700).

Almost surely, 2^{1321432301440} is an apocalyptic number.

1321432301440 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 1321432301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589397292800).

1321432301440 is an abundant number, since it is smaller than the sum of its proper divisors (1857362284160).

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

1321432301440 is a wasteful number, since it uses less digits than its factorization.

1321432301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7812 (or 7800 counting only the distinct ones).

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

Adding to 1321432301440 its reverse (441032341231), we get a palindrome (1762464642671).

The spelling of 1321432301440 in words is "one trillion, three hundred twenty-one billion, four hundred thirty-two million, three hundred one thousand, four hundred forty".