321468618240 has 2880 divisors, whose sum is σ = 1603972339200. Its totient is φ = 59560427520.

The previous prime is 321468618203. The next prime is 321468618253. The reversal of 321468618240 is 42816864123.

321468618240 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 6 + 8 + 618 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16919400951 + ... + 16919400969.

It is an arithmetic number, because the mean of its divisors is an integer number (556934840).

Almost surely, 2^321468618240 is an apocalyptic number.

321468618240 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 321468618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801986169600).

321468618240 is an abundant number, since it is smaller than the sum of its proper divisors (1282503720960).

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

321468618240 is a wasteful number, since it uses less digits than its factorization.

321468618240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 321468618240 in words is "three hundred twenty-one billion, four hundred sixty-eight million, six hundred eighteen thousand, two hundred forty".