321404313444420 has 384 divisors, whose sum is σ = 972718420036608. Its totient is φ = 79095156940800.

The previous prime is 321404313444413. The next prime is 321404313444509. The reversal of 321404313444420 is 24444313404123.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23472155094 + ... + 23472168786.

It is an arithmetic number, because the mean of its divisors is an integer number (2533120885512).

Almost surely, 2^{321404313444420} is an apocalyptic number.

321404313444420 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 321404313444420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486359210018304).

321404313444420 is an abundant number, since it is smaller than the sum of its proper divisors (651314106592188).

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

321404313444420 is a wasteful number, since it uses less digits than its factorization.

321404313444420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19103 (or 19101 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 321404313444420 its reverse (24444313404123), we get a palindrome (345848626848543).

The spelling of 321404313444420 in words is "three hundred twenty-one trillion, four hundred four billion, three hundred thirteen million, four hundred forty-four thousand, four hundred twenty".