321456918480 has 160 divisors (see below), whose sum is σ = 1040784456960. Its totient is φ = 81920593920.

The previous prime is 321456918479. The next prime is 321456918487. The reversal of 321456918480 is 84819654123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321456918487) by changing a digit.

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, 6206290 + ... + 6257870.

It is an arithmetic number, because the mean of its divisors is an integer number (6504902856).

Almost surely, 2^321456918480 is an apocalyptic number.

321456918480 is a gapful number since it is divisible by the number (30) 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 321456918480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520392228480).

321456918480 is an abundant number, since it is smaller than the sum of its proper divisors (719327538480).

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

321456918480 is a wasteful number, since it uses less digits than its factorization.

321456918480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52749 (or 52743 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 321456918480 in words is "three hundred twenty-one billion, four hundred fifty-six million, nine hundred eighteen thousand, four hundred eighty".