321014400140000 has 480 divisors, whose sum is σ = 923463065226240. Its totient is φ = 107522198784000.

The previous prime is 321014400139987. The next prime is 321014400140059. The reversal of 321014400140000 is 41004410123.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3599215406 + ... + 3599304594.

It is an arithmetic number, because the mean of its divisors is an integer number (1923881385888).

Almost surely, 2^{321014400140000} 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 321014400140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461731532613120).

321014400140000 is an abundant number, since it is smaller than the sum of its proper divisors (602448665086240).

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

321014400140000 is an equidigital number, since it uses as much as digits as its factorization.

321014400140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89820 (or 89797 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 321014400140000 its reverse (41004410123), we get a palindrome (321055404550123).

The spelling of 321014400140000 in words is "three hundred twenty-one trillion, fourteen billion, four hundred million, one hundred forty thousand".