4684331450880 has 1440 divisors, whose sum is σ = 17831277921600. Its totient is φ = 1178364837888.

The previous prime is 4684331450857. The next prime is 4684331450921. The reversal of 4684331450880 is 880541334864.

It is a happy number.

4684331450880 is a `hidden beast` number, since 4 + 6 + 8 + 43 + 3 + 14 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×4684331450880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28738229679 + ... + 28738229841.

It is an arithmetic number, because the mean of its divisors is an integer number (12382831890).

Almost surely, 2^{4684331450880} is an apocalyptic number.

4684331450880 is a gapful number since it is divisible by the number (40) 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 4684331450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8915638960800).

4684331450880 is an abundant number, since it is smaller than the sum of its proper divisors (13146946470720).

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

4684331450880 is an frugal number, since it uses more digits than its factorization.

4684331450880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 4684331450880 in words is "four trillion, six hundred eighty-four billion, three hundred thirty-one million, four hundred fifty thousand, eight hundred eighty".