321430313340 has 384 divisors, whose sum is σ = 1040104074240. Its totient is φ = 82352332800.

The previous prime is 321430313263. The next prime is 321430313341. The reversal of 321430313340 is 43313034123.

321430313340 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 3 + 0 + 313 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321430313341) by changing a digit.

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, 570923899 + ... + 570924461.

It is an arithmetic number, because the mean of its divisors is an integer number (2708604360).

Almost surely, 2^321430313340 is an apocalyptic number.

321430313340 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 321430313340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520052037120).

321430313340 is an abundant number, since it is smaller than the sum of its proper divisors (718673760900).

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

321430313340 is a wasteful number, since it uses less digits than its factorization.

321430313340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 321430313340 its reverse (43313034123), we get a palindrome (364743347463).

The spelling of 321430313340 in words is "three hundred twenty-one billion, four hundred thirty million, three hundred thirteen thousand, three hundred forty".