321118653440 has 352 divisors, whose sum is σ = 901502730240. Its totient is φ = 108689817600.

The previous prime is 321118653433. The next prime is 321118653473. The reversal of 321118653440 is 44356811123.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 321118653394 and 321118653403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39199745 + ... + 39207935.

Almost surely, 2^321118653440 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 321118653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450751365120).

321118653440 is an abundant number, since it is smaller than the sum of its proper divisors (580384076800).

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

321118653440 is a wasteful number, since it uses less digits than its factorization.

321118653440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8279 (or 8261 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 321118653440 in words is "three hundred twenty-one billion, one hundred eighteen million, six hundred fifty-three thousand, four hundred forty".