1321332001440 has 192 divisors, whose sum is σ = 4626249489792. Its totient is φ = 314279014400.

The previous prime is 1321332001439. The next prime is 1321332001447. The reversal of 1321332001440 is 441002331231.

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 1321332001440.

It is not an unprimeable number, because it can be changed into a prime (1321332001447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2081031 + ... + 2640710.

It is an arithmetic number, because the mean of its divisors is an integer number (24095049426).

Almost surely, 2^{1321332001440} is an apocalyptic number.

1321332001440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321332001440 is an abundant number, since it is smaller than the sum of its proper divisors (3304917488352).

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

1321332001440 is a wasteful number, since it uses less digits than its factorization.

1321332001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721823 (or 4721815 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1321332001440 its reverse (441002331231), we get a palindrome (1762334332671).

The spelling of 1321332001440 in words is "one trillion, three hundred twenty-one billion, three hundred thirty-two million, one thousand, four hundred forty".