4808004121200 has 960 divisors, whose sum is σ = 18312077952000. Its totient is φ = 1055600640000.

The previous prime is 4808004121171. The next prime is 4808004121303. The reversal of 4808004121200 is 21214008084.

It is a super-3 number, since 3×4808004121200³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9635278551 + ... + 9635279049.

It is an arithmetic number, because the mean of its divisors is an integer number (19075081200).

Almost surely, 2^{4808004121200} is an apocalyptic number.

4808004121200 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 4808004121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9156038976000).

4808004121200 is an abundant number, since it is smaller than the sum of its proper divisors (13504073830800).

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

4808004121200 is a wasteful number, since it uses less digits than its factorization.

4808004121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

Adding to 4808004121200 its reverse (21214008084), we get a palindrome (4829218129284).

The spelling of 4808004121200 in words is "four trillion, eight hundred eight billion, four million, one hundred twenty-one thousand, two hundred".