321000401064 has 128 divisors (see below), whose sum is σ = 941478912000. Its totient is φ = 89312730624.

The previous prime is 321000401047. The next prime is 321000401081. The reversal of 321000401064 is 460104000123.

It is an interprime number because it is at equal distance from previous prime (321000401047) and next prime (321000401081).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 321000401064.

It is an unprimeable number.

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, 803197 + ... + 1134515.

It is an arithmetic number, because the mean of its divisors is an integer number (7355304000).

Almost surely, 2^321000401064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321000401064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470739456000).

321000401064 is an abundant number, since it is smaller than the sum of its proper divisors (620478510936).

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

321000401064 is a wasteful number, since it uses less digits than its factorization.

321000401064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331487 (or 331483 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 321000401064 its reverse (460104000123), we get a palindrome (781104401187).

The spelling of 321000401064 in words is "three hundred twenty-one billion, four hundred one thousand, sixty-four".