321411040 has 48 divisors (see below), whose sum is σ = 767899440. Its totient is φ = 127114240.

The previous prime is 321411037. The next prime is 321411047. The reversal of 321411040 is 40114123.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321411047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2955 + ... + 25525.

It is an arithmetic number, because the mean of its divisors is an integer number (15997905).

Almost surely, 2^321411040 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 321411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383949720).

321411040 is an abundant number, since it is smaller than the sum of its proper divisors (446488400).

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

321411040 is a wasteful number, since it uses less digits than its factorization.

321411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22675 (or 22667 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 321411040 is about 17927.9402051658. The cubic root of 321411040 is about 684.9942564386.

Adding to 321411040 its reverse (40114123), we get a palindrome (361525163).

The spelling of 321411040 in words is "three hundred twenty-one million, four hundred eleven thousand, forty".