321920040960 has 1152 divisors, whose sum is σ = 1377068636160. Its totient is φ = 69759664128.

The previous prime is 321920040929. The next prime is 321920040971. The reversal of 321920040960 is 69040029123.

321920040960 is a `hidden beast` number, since 3 + 2 + 192 + 0 + 0 + 409 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 63 ways as a sum of consecutive naturals, for example, 2848849864 + ... + 2848849976.

It is an arithmetic number, because the mean of its divisors is an integer number (1195372080).

Almost surely, 2^321920040960 is an apocalyptic number.

321920040960 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 321920040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688534318080).

321920040960 is an abundant number, since it is smaller than the sum of its proper divisors (1055148595200).

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

321920040960 is an equidigital number, since it uses as much as digits as its factorization.

321920040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 321920040960 in words is "three hundred twenty-one billion, nine hundred twenty million, forty thousand, nine hundred sixty".