321441151680 has 1680 divisors, whose sum is σ = 1369558181376. Its totient is φ = 70916014080.

The previous prime is 321441151673. The next prime is 321441151687. The reversal of 321441151680 is 86151144123.

321441151680 is a `hidden beast` number, since 3 + 2 + 1 + 441 + 151 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (321441151673) and next prime (321441151687).

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

It is not an unprimeable number, because it can be changed into a prime (321441151687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3872784919 + ... + 3872785001.

Almost surely, 2^321441151680 is an apocalyptic number.

321441151680 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 321441151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684779090688).

321441151680 is an abundant number, since it is smaller than the sum of its proper divisors (1048117029696).

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

321441151680 is a wasteful number, since it uses less digits than its factorization.

321441151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 321441151680 in words is "three hundred twenty-one billion, four hundred forty-one million, one hundred fifty-one thousand, six hundred eighty".