321234434421144 has 96 divisors (see below), whose sum is σ = 825409872378000. Its totient is φ = 104180084697600.

The previous prime is 321234434421073. The next prime is 321234434421163. The reversal of 321234434421144 is 441124434432123.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 321234434421096 and 321234434421105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909967582 + ... + 910320530.

Almost surely, 2^{321234434421144} 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 321234434421144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412704936189000).

321234434421144 is an abundant number, since it is smaller than the sum of its proper divisors (504175437956856).

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

321234434421144 is a wasteful number, since it uses less digits than its factorization.

321234434421144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380733 (or 380692 counting only the distinct ones).

The product of its digits is 884736, while the sum is 42.

Adding to 321234434421144 its reverse (441124434432123), we get a palindrome (762358868853267).

The spelling of 321234434421144 in words is "three hundred twenty-one trillion, two hundred thirty-four billion, four hundred thirty-four million, four hundred twenty-one thousand, one hundred forty-four".