4816620302400 has 189 divisors, whose sum is σ = 17120341912791. Its totient is φ = 1284361850880.

The previous prime is 4816620302383. The next prime is 4816620302419. The reversal of 4816620302400 is 42030266184.

The square root of 4816620302400 is 2194680.

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

4816620302400 is a `hidden beast` number, since 4 + 8 + 1 + 6 + 620 + 3 + 0 + 24 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1210510453824 + 3606109848576 = 1100232^2 + 1898976^2 .

It is a super-3 number, since 3×4816620302400³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 263352456 + ... + 263370744.

Almost surely, 2^{4816620302400} is an apocalyptic number.

4816620302400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4816620302400 is the 2194680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4816620302400

4816620302400 is an abundant number, since it is smaller than the sum of its proper divisors (12303721610391).

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

4816620302400 is an frugal number, since it uses more digits than its factorization.

4816620302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36606 (or 18299 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 4816620302400 by its sum of digits (36), we get a square (173398330886400 = 13168080²).

4816620302400 divided by its sum of digits (36) gives a square (133795008400 = 365780²).

Adding to 4816620302400 its reverse (42030266184), we get a palindrome (4858650568584).

The spelling of 4816620302400 in words is "four trillion, eight hundred sixteen billion, six hundred twenty million, three hundred two thousand, four hundred".