4835200204800 has 1368 divisors, whose sum is σ = 20283615456000. Its totient is φ = 1100564398080.

The previous prime is 4835200204777. The next prime is 4835200204823. The reversal of 4835200204800 is 84020025384.

It is an interprime number because it is at equal distance from previous prime (4835200204777) and next prime (4835200204823).

It is a super-2 number, since 2×4835200204800² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20230963081 + ... + 20230963319.

Almost surely, 2^{4835200204800} is an apocalyptic number.

4835200204800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4835200204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10141807728000).

4835200204800 is an abundant number, since it is smaller than the sum of its proper divisors (15448415251200).

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

4835200204800 is an frugal number, since it uses more digits than its factorization.

4835200204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 4835200204800 in words is "four trillion, eight hundred thirty-five billion, two hundred million, two hundred four thousand, eight hundred".