4888848756400 has 360 divisors, whose sum is σ = 14144205806640. Its totient is φ = 1617235200000.

The previous prime is 4888848756391. The next prime is 4888848756401. The reversal of 4888848756400 is 46578488884.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 4888848756400.

It is not an unprimeable number, because it can be changed into a prime (4888848756401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1279466490 + ... + 1279470310.

It is an arithmetic number, because the mean of its divisors is an integer number (39289460574).

Almost surely, 2^{4888848756400} is an apocalyptic number.

4888848756400 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 4888848756400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7072102903320).

4888848756400 is an abundant number, since it is smaller than the sum of its proper divisors (9255357050240).

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

4888848756400 is a wasteful number, since it uses less digits than its factorization.

4888848756400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6133 (or 6115 counting only the distinct ones).

The product of its (nonzero) digits is 440401920, while the sum is 70.

The spelling of 4888848756400 in words is "four trillion, eight hundred eighty-eight billion, eight hundred forty-eight million, seven hundred fifty-six thousand, four hundred".