321441211113440 has 384 divisors, whose sum is σ = 871457567145984. Its totient is φ = 110971819008000.

The previous prime is 321441211113403. The next prime is 321441211113469. The reversal of 321441211113440 is 44311112144123.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 321441211113397 and 321441211113406.

It is a congruent number.

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, 1274559194 + ... + 1274811366.

It is an arithmetic number, because the mean of its divisors is an integer number (2269420747776).

Almost surely, 2^{321441211113440} 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 321441211113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435728783572992).

321441211113440 is an abundant number, since it is smaller than the sum of its proper divisors (550016356032544).

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

321441211113440 is a wasteful number, since it uses less digits than its factorization.

321441211113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252674 (or 252666 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 321441211113440 its reverse (44311112144123), we get a palindrome (365752323257563).

The spelling of 321441211113440 in words is "three hundred twenty-one trillion, four hundred forty-one billion, two hundred eleven million, one hundred thirteen thousand, four hundred forty".