321404440222020 has 192 divisors, whose sum is σ = 950476906229760. Its totient is φ = 80924537548800.

The previous prime is 321404440221989. The next prime is 321404440222031. The reversal of 321404440222020 is 20222044404123.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1140557940 + ... + 1140839700.

It is an arithmetic number, because the mean of its divisors is an integer number (4950400553280).

Almost surely, 2^{321404440222020} is an apocalyptic number.

321404440222020 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 321404440222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475238453114880).

321404440222020 is an abundant number, since it is smaller than the sum of its proper divisors (629072466007740).

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

321404440222020 is a wasteful number, since it uses less digits than its factorization.

321404440222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285146 (or 285144 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 321404440222020 its reverse (20222044404123), we get a palindrome (341626484626143).

The spelling of 321404440222020 in words is "three hundred twenty-one trillion, four hundred four billion, four hundred forty million, two hundred twenty-two thousand, twenty".