4848387398400 has 1296 divisors, whose sum is σ = 20387595110400. Its totient is φ = 1005468549120.

The previous prime is 4848387398399. The next prime is 4848387398441. The reversal of 4848387398400 is 48937838484.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 721590241 + ... + 721596959.

Almost surely, 2^{4848387398400} is an apocalyptic number.

4848387398400 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 4848387398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10193797555200).

4848387398400 is an abundant number, since it is smaller than the sum of its proper divisors (15539207712000).

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

4848387398400 is a wasteful number, since it uses less digits than its factorization.

4848387398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6834 (or 6808 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 66.

The spelling of 4848387398400 in words is "four trillion, eight hundred forty-eight billion, three hundred eighty-seven million, three hundred ninety-eight thousand, four hundred".