321441450240 has 144 divisors (see below), whose sum is σ = 1059720270336. Its totient is φ = 82952601600.

The previous prime is 321441450233. The next prime is 321441450247. The reversal of 321441450240 is 42054144123.

It is an interprime number because it is at equal distance from previous prime (321441450233) and next prime (321441450247).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 321441450198 and 321441450207.

It is not an unprimeable number, because it can be changed into a prime (321441450247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1231101 + ... + 1469180.

It is an arithmetic number, because the mean of its divisors is an integer number (7359168544).

Almost surely, 2^321441450240 is an apocalyptic number.

321441450240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321441450240 is an abundant number, since it is smaller than the sum of its proper divisors (738278820096).

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

321441450240 is a wasteful number, since it uses less digits than its factorization.

321441450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700336 (or 2700322 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 321441450240 its reverse (42054144123), we get a palindrome (363495594363).

The spelling of 321441450240 in words is "three hundred twenty-one billion, four hundred forty-one million, four hundred fifty thousand, two hundred forty".