321123440 has 80 divisors (see below), whose sum is σ = 822777696. Its totient is φ = 115584000.

The previous prime is 321123433. The next prime is 321123443. The reversal of 321123440 is 44321123.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321123443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87074 + ... + 90686.

Almost surely, 2^321123440 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 321123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411388848).

321123440 is an abundant number, since it is smaller than the sum of its proper divisors (501654256).

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

321123440 is a wasteful number, since it uses less digits than its factorization.

321123440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 321123440 is about 17919.9174105240. The cubic root of 321123440 is about 684.7898835194.

Adding to 321123440 its reverse (44321123), we get a palindrome (365444563).

The spelling of 321123440 in words is "three hundred twenty-one million, one hundred twenty-three thousand, four hundred forty".