4988532614400 has 648 divisors, whose sum is σ = 18522958350624. Its totient is φ = 1328314982400.

The previous prime is 4988532614381. The next prime is 4988532614431. The reversal of 4988532614400 is 44162358894.

4988532614400 is a `hidden beast` number, since 4 + 9 + 8 + 8 + 532 + 61 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1276817247 + ... + 1276821153.

Almost surely, 2^{4988532614400} is an apocalyptic number.

4988532614400 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 4988532614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9261479175312).

4988532614400 is an abundant number, since it is smaller than the sum of its proper divisors (13534425736224).

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

4988532614400 is an equidigital number, since it uses as much as digits as its factorization.

4988532614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4769 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 4988532614400 in words is "four trillion, nine hundred eighty-eight billion, five hundred thirty-two million, six hundred fourteen thousand, four hundred".