4888761386400 has 432 divisors, whose sum is σ = 18335007984384. Its totient is φ = 1221474263040.

The previous prime is 4888761386393. The next prime is 4888761386501. The reversal of 4888761386400 is 46831678884.

4888761386400 is a `hidden beast` number, since 4 + 8 + 8 + 8 + 7 + 613 + 8 + 6 + 4 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27205647 + ... + 27384753.

It is an arithmetic number, because the mean of its divisors is an integer number (42442148112).

Almost surely, 2^{4888761386400} is an apocalyptic number.

4888761386400 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 4888761386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9167503992192).

4888761386400 is an abundant number, since it is smaller than the sum of its proper divisors (13446246597984).

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

4888761386400 is a wasteful number, since it uses less digits than its factorization.

4888761386400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179373 (or 179357 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 4888761386400 in words is "four trillion, eight hundred eighty-eight billion, seven hundred sixty-one million, three hundred eighty-six thousand, four hundred".