4988585318400 has 1152 divisors, whose sum is σ = 19654742016000. Its totient is φ = 1235728465920.

The previous prime is 4988585318371. The next prime is 4988585318401. The reversal of 4988585318400 is 48135858894.

4988585318400 is a `hidden beast` number, since 4 + 9 + 8 + 8 + 58 + 531 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4988585318401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1856561857 + ... + 1856564543.

It is an arithmetic number, because the mean of its divisors is an integer number (17061408000).

Almost surely, 2^{4988585318400} is an apocalyptic number.

4988585318400 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 4988585318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9827371008000).

4988585318400 is an abundant number, since it is smaller than the sum of its proper divisors (14666156697600).

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

4988585318400 is a wasteful number, since it uses less digits than its factorization.

4988585318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 4988585318400 in words is "four trillion, nine hundred eighty-eight billion, five hundred eighty-five million, three hundred eighteen thousand, four hundred".