321420032241420 has 384 divisors, whose sum is σ = 1121243766128640. Its totient is φ = 67136128957440.

The previous prime is 321420032241391. The next prime is 321420032241463. The reversal of 321420032241420 is 24142230024123.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73829542 + ... + 78061778.

It is an arithmetic number, because the mean of its divisors is an integer number (2919905640960).

Almost surely, 2^{321420032241420} is an apocalyptic number.

321420032241420 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 321420032241420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560621883064320).

321420032241420 is an abundant number, since it is smaller than the sum of its proper divisors (799823733887220).

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

321420032241420 is a wasteful number, since it uses less digits than its factorization.

321420032241420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232613 (or 4232611 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 321420032241420 its reverse (24142230024123), we get a palindrome (345562262265543).

The spelling of 321420032241420 in words is "three hundred twenty-one trillion, four hundred twenty billion, thirty-two million, two hundred forty-one thousand, four hundred twenty".