321407712000 has 432 divisors, whose sum is σ = 1224567856512. Its totient is φ = 80665804800.

The previous prime is 321407711987. The next prime is 321407712019. The reversal of 321407712000 is 217704123.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 4863177 + ... + 4928823.

It is an arithmetic number, because the mean of its divisors is an integer number (2834647816).

Almost surely, 2^321407712000 is an apocalyptic number.

321407712000 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 321407712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612283928256).

321407712000 is an abundant number, since it is smaller than the sum of its proper divisors (903160144512).

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

321407712000 is a wasteful number, since it uses less digits than its factorization.

321407712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65701 (or 65674 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 321407712000 in words is "three hundred twenty-one billion, four hundred seven million, seven hundred twelve thousand".