321213108142080 has 5040 divisors, whose sum is σ = 1555657640663616. Its totient is φ = 62712352604160.

The previous prime is 321213108142051. The next prime is 321213108142099. The reversal of 321213108142080 is 80241801312123.

321213108142080 is a `hidden beast` number, since 3 + 2 + 1 + 213 + 10 + 8 + 1 + 420 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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 335 ways as a sum of consecutive naturals, for example, 547211427547 + ... + 547211428133.

Almost surely, 2^{321213108142080} is an apocalyptic number.

321213108142080 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 321213108142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777828820331808).

321213108142080 is an abundant number, since it is smaller than the sum of its proper divisors (1234444532521536).

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

321213108142080 is an equidigital number, since it uses as much as digits as its factorization.

321213108142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 321213108142080 in words is "three hundred twenty-one trillion, two hundred thirteen billion, one hundred eight million, one hundred forty-two thousand, eighty".