321221040 has 160 divisors (see below), whose sum is σ = 1154497536. Its totient is φ = 72360960.

The previous prime is 321221027. The next prime is 321221041. The reversal of 321221040 is 40122123.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (321221041) 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 31 ways as a sum of consecutive naturals, for example, 117934 + ... + 120626.

Almost surely, 2^321221040 is an apocalyptic number.

321221040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577248768).

321221040 is an abundant number, since it is smaller than the sum of its proper divisors (833276496).

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

321221040 is a wasteful number, since it uses less digits than its factorization.

321221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 321221040 is about 17922.6404304723. The cubic root of 321221040 is about 684.8592532324.

Adding to 321221040 its reverse (40122123), we get a palindrome (361343163).

The spelling of 321221040 in words is "three hundred twenty-one million, two hundred twenty-one thousand, forty".