321431144104400 has 360 divisors, whose sum is σ = 859281277478400. Its totient is φ = 115444823859200.

The previous prime is 321431144104261. The next prime is 321431144104519. The reversal of 321431144104400 is 4401441134123.

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 71 ways as a sum of consecutive naturals, for example, 19278534464 + ... + 19278551136.

It is an arithmetic number, because the mean of its divisors is an integer number (2386892437440).

Almost surely, 2^{321431144104400} 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 321431144104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429640638739200).

321431144104400 is an abundant number, since it is smaller than the sum of its proper divisors (537850133374000).

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

321431144104400 is a wasteful number, since it uses less digits than its factorization.

321431144104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21595 (or 21573 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 321431144104400 its reverse (4401441134123), we get a palindrome (325832585238523).

The spelling of 321431144104400 in words is "three hundred twenty-one trillion, four hundred thirty-one billion, one hundred forty-four million, one hundred four thousand, four hundred".