321434041143450 has 144 divisors (see below), whose sum is σ = 816178599976320. Its totient is φ = 83716966448640.

The previous prime is 321434041143419. The next prime is 321434041143473. The reversal of 321434041143450 is 54341140434123.

It is a happy number.

It is a super-3 number, since 3×321434041143450³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321434041143399 and 321434041143408.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6119146786 + ... + 6119199314.

It is an arithmetic number, because the mean of its divisors is an integer number (5667906944280).

Almost surely, 2^{321434041143450} is an apocalyptic number.

321434041143450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 321434041143450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408089299988160).

321434041143450 is an abundant number, since it is smaller than the sum of its proper divisors (494744558832870).

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

321434041143450 is a wasteful number, since it uses less digits than its factorization.

321434041143450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74693 (or 74645 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

Adding to 321434041143450 its reverse (54341140434123), we get a palindrome (375775181577573).

The spelling of 321434041143450 in words is "three hundred twenty-one trillion, four hundred thirty-four billion, forty-one million, one hundred forty-three thousand, four hundred fifty".