321140504000 has 224 divisors, whose sum is σ = 802455104256. Its totient is φ = 127307980800.

The previous prime is 321140503927. The next prime is 321140504081. The reversal of 321140504000 is 405041123.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 693607769 + ... + 693608231.

Almost surely, 2^321140504000 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 321140504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401227552128).

321140504000 is an abundant number, since it is smaller than the sum of its proper divisors (481314600256).

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

321140504000 is a wasteful number, since it uses less digits than its factorization.

321140504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 321140504000 its reverse (405041123), we get a palindrome (321545545123).

The spelling of 321140504000 in words is "three hundred twenty-one billion, one hundred forty million, five hundred four thousand".