321400331231340 has 192 divisors, whose sum is σ = 940665580686720. Its totient is φ = 81888844800000.

The previous prime is 321400331231323. The next prime is 321400331231429. The reversal of 321400331231340 is 43132133004123.

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

It is a junction number, because it is equal to n+sod(n) for n = 321400331231298 and 321400331231307.

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, 333600720 + ... + 334562760.

It is an arithmetic number, because the mean of its divisors is an integer number (4899299899410).

Almost surely, 2^{321400331231340} is an apocalyptic number.

321400331231340 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 321400331231340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470332790343360).

321400331231340 is an abundant number, since it is smaller than the sum of its proper divisors (619265249455380).

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

321400331231340 is a wasteful number, since it uses less digits than its factorization.

321400331231340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964084 (or 964082 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 321400331231340 its reverse (43132133004123), we get a palindrome (364532464235463).

The spelling of 321400331231340 in words is "three hundred twenty-one trillion, four hundred billion, three hundred thirty-one million, two hundred thirty-one thousand, three hundred forty".