1321114021440 has 112 divisors (see below), whose sum is σ = 4200522805440. Its totient is φ = 351794329600.

The previous prime is 1321114021393. The next prime is 1321114021453. The reversal of 1321114021440 is 441204111231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1321114021440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308610 + ... + 1654529.

Almost surely, 2^{1321114021440} is an apocalyptic number.

1321114021440 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 1321114021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100261402720).

1321114021440 is an abundant number, since it is smaller than the sum of its proper divisors (2879408784000).

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

1321114021440 is a wasteful number, since it uses less digits than its factorization.

1321114021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963860 (or 1963850 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1321114021440 its reverse (441204111231), we get a palindrome (1762318132671).

The spelling of 1321114021440 in words is "one trillion, three hundred twenty-one billion, one hundred fourteen million, twenty-one thousand, four hundred forty".