321323973949440 has 6912 divisors, whose sum is σ = 1564473082798080. Its totient is φ = 59420285337600.

The previous prime is 321323973949361. The next prime is 321323973949499. The reversal of 321323973949440 is 44949379323123.

321323973949440 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 2 + 39 + 73 + 9 + 494 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent 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 575 ways as a sum of consecutive naturals, for example, 3003027793867 + ... + 3003027793973.

It is an arithmetic number, because the mean of its divisors is an integer number (226341591840).

Almost surely, 2^{321323973949440} is an apocalyptic number.

321323973949440 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 321323973949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782236541399040).

321323973949440 is an abundant number, since it is smaller than the sum of its proper divisors (1243149108848640).

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

321323973949440 is a wasteful number, since it uses less digits than its factorization.

321323973949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 63.

The spelling of 321323973949440 in words is "three hundred twenty-one trillion, three hundred twenty-three billion, nine hundred seventy-three million, nine hundred forty-nine thousand, four hundred forty".