4628521960000 has 315 divisors, whose sum is σ = 11893681887087. Its totient is φ = 1786522560000.

The previous prime is 4628521959979. The next prime is 4628521960001. The reversal of 4628521960000 is 691258264.

The square root of 4628521960000 is 2151400.

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 362876121664 + 4265645838336 = 602392^2 + 2065344^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4628521960001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13338679827 + ... + 13338680173.

Almost surely, 2^{4628521960000} is an apocalyptic number.

4628521960000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4628521960000 is the 2151400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4628521960000

4628521960000 is an abundant number, since it is smaller than the sum of its proper divisors (7265159927087).

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

4628521960000 is an frugal number, since it uses more digits than its factorization.

4628521960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 4628521960000 in words is "four trillion, six hundred twenty-eight billion, five hundred twenty-one million, nine hundred sixty thousand".