321471944048640 has 3840 divisors, whose sum is σ = 1402398240768000. Its totient is φ = 62149518950400.

The previous prime is 321471944048611. The next prime is 321471944048701. The reversal of 321471944048640 is 46840449174123.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1250863595392 + ... + 1250863595648.

It is an arithmetic number, because the mean of its divisors is an integer number (365207875200).

Almost surely, 2^{321471944048640} is an apocalyptic number.

321471944048640 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 321471944048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701199120384000).

321471944048640 is an abundant number, since it is smaller than the sum of its proper divisors (1080926296719360).

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

321471944048640 is a wasteful number, since it uses less digits than its factorization.

321471944048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 321471944048640 in words is "three hundred twenty-one trillion, four hundred seventy-one billion, nine hundred forty-four million, forty-eight thousand, six hundred forty".