4828131158400 has 2304 divisors, whose sum is σ = 20797925990400. Its totient is φ = 1061609472000.

The previous prime is 4828131158363. The next prime is 4828131158413. The reversal of 4828131158400 is 48511318284.

4828131158400 is a `hidden beast` number, since 4 + 8 + 281 + 311 + 58 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20201385481 + ... + 20201385719.

It is an arithmetic number, because the mean of its divisors is an integer number (9026877600).

Almost surely, 2^{4828131158400} is an apocalyptic number.

4828131158400 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 4828131158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10398962995200).

4828131158400 is an abundant number, since it is smaller than the sum of its proper divisors (15969794832000).

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

4828131158400 is a wasteful number, since it uses less digits than its factorization.

4828131158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 4828131158400 in words is "four trillion, eight hundred twenty-eight billion, one hundred thirty-one million, one hundred fifty-eight thousand, four hundred".