321214412100340 has 192 divisors, whose sum is σ = 746482271109120. Its totient is φ = 115126502400000.

The previous prime is 321214412100301. The next prime is 321214412100343. The reversal of 321214412100340 is 43001214412123.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 321214412100299 and 321214412100308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321214412100343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59035912020 + ... + 59035917460.

It is an arithmetic number, because the mean of its divisors is an integer number (3887928495360).

Almost surely, 2^{321214412100340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321214412100340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373241135554560).

321214412100340 is an abundant number, since it is smaller than the sum of its proper divisors (425267859008780).

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

321214412100340 is a wasteful number, since it uses less digits than its factorization.

321214412100340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10814 (or 10812 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 321214412100340 its reverse (43001214412123), we get a palindrome (364215626512463).

The spelling of 321214412100340 in words is "three hundred twenty-one trillion, two hundred fourteen billion, four hundred twelve million, one hundred thousand, three hundred forty".