4788709409344 has 189 divisors, whose sum is σ = 11562351249267. Its totient is φ = 1961917993728.

The previous prime is 4788709409339. The next prime is 4788709409353. The reversal of 4788709409344 is 4439049078874.

The square root of 4788709409344 is 2188312.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×4788709409344² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4788709409344.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2818545007 + ... + 2818546705.

Almost surely, 2^{4788709409344} is an apocalyptic number.

4788709409344 is the 2188312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4788709409344

4788709409344 is an abundant number, since it is smaller than the sum of its proper divisors (6773641839923).

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

4788709409344 is an frugal number, since it uses more digits than its factorization.

4788709409344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3470 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 67.

The spelling of 4788709409344 in words is "four trillion, seven hundred eighty-eight billion, seven hundred nine million, four hundred nine thousand, three hundred forty-four".