4524979840000 has 165 divisors, whose sum is σ = 11307560287287. Its totient is φ = 1809311232000.

The previous prime is 4524979839971. The next prime is 4524979840001. The reversal of 4524979840000 is 489794254.

The square root of 4524979840000 is 2127200.

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

It can be written as a sum of positive squares in 2 ways, for example, as 354758419456 + 4170221420544 = 595616^2 + 2042112^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4524979840000.

It is not an unprimeable number, because it can be changed into a prime (4524979840001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1701758671 + ... + 1701761329.

Almost surely, 2^{4524979840000} is an apocalyptic number.

4524979840000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4524979840000 is the 2127200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4524979840000

4524979840000 is an abundant number, since it is smaller than the sum of its proper divisors (6782580447287).

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

4524979840000 is an frugal number, since it uses more digits than its factorization.

4524979840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5358 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 4524979840000 in words is "four trillion, five hundred twenty-four billion, nine hundred seventy-nine million, eight hundred forty thousand".