4842028329600 has 1536 divisors, whose sum is σ = 20500493598720. Its totient is φ = 975421440000.

The previous prime is 4842028329559. The next prime is 4842028329601. The reversal of 4842028329600 is 69238202484.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4842028329600.

It is not an unprimeable number, because it can be changed into a prime (4842028329601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3291656865 + ... + 3291658335.

It is an arithmetic number, because the mean of its divisors is an integer number (13346675520).

Almost surely, 2^{4842028329600} is an apocalyptic number.

4842028329600 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 4842028329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10250246799360).

4842028329600 is an abundant number, since it is smaller than the sum of its proper divisors (15658465269120).

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

4842028329600 is a wasteful number, since it uses less digits than its factorization.

4842028329600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 4842028329600 in words is "four trillion, eight hundred forty-two billion, twenty-eight million, three hundred twenty-nine thousand, six hundred".