4840968048400 has 405 divisors, whose sum is σ = 13056675792573. Its totient is φ = 1723564339200.

The previous prime is 4840968048379. The next prime is 4840968048407. The reversal of 4840968048400 is 48408690484.

The square root of 4840968048400 is 2200220.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2353610085904 + 2487357962496 = 1534148^2 + 1577136^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (4840968048407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 35335533132 + ... + 35335533268.

Almost surely, 2^{4840968048400} is an apocalyptic number.

4840968048400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4840968048400 is the 2200220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4840968048400

4840968048400 is an abundant number, since it is smaller than the sum of its proper divisors (8215707744173).

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

4840968048400 is a wasteful number, since it uses less digits than its factorization.

4840968048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 55.

The spelling of 4840968048400 in words is "four trillion, eight hundred forty billion, nine hundred sixty-eight million, forty-eight thousand, four hundred".