321430034323020 has 192 divisors, whose sum is σ = 1041467615870976. Its totient is φ = 72549748965120.

The previous prime is 321430034322989. The next prime is 321430034323037. The reversal of 321430034323020 is 20323430034123.

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, 70543765 + ... + 74961875.

It is an arithmetic number, because the mean of its divisors is an integer number (5424310499328).

Almost surely, 2^{321430034323020} is an apocalyptic number.

321430034323020 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 321430034323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520733807935488).

321430034323020 is an abundant number, since it is smaller than the sum of its proper divisors (720037581547956).

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

321430034323020 is a wasteful number, since it uses less digits than its factorization.

321430034323020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4420300 (or 4420298 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 321430034323020 its reverse (20323430034123), we get a palindrome (341753464357143).

The spelling of 321430034323020 in words is "three hundred twenty-one trillion, four hundred thirty billion, thirty-four million, three hundred twenty-three thousand, twenty".