321420244213404 has 288 divisors, whose sum is σ = 949783529350656. Its totient is φ = 89755803371520.

The previous prime is 321420244213399. The next prime is 321420244213429. The reversal of 321420244213404 is 404312442024123.

321420244213404 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 2 + 0 + 244 + 2 + 1 + 3 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15166329432 + ... + 15166350624.

It is an arithmetic number, because the mean of its divisors is an integer number (3297859476912).

Almost surely, 2^{321420244213404} 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 321420244213404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474891764675328).

321420244213404 is an abundant number, since it is smaller than the sum of its proper divisors (628363285137252).

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

321420244213404 is a wasteful number, since it uses less digits than its factorization.

321420244213404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28265 (or 28260 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 321420244213404 its reverse (404312442024123), we get a palindrome (725732686237527).

The spelling of 321420244213404 in words is "three hundred twenty-one trillion, four hundred twenty billion, two hundred forty-four million, two hundred thirteen thousand, four hundred four".