488042755200 has 4032 divisors, whose sum is σ = 2574077956800. Its totient is φ = 88683724800.

The previous prime is 488042755177. The next prime is 488042755229. The reversal of 488042755200 is 2557240884.

488042755200 is a `hidden beast` number, since 4 + 8 + 80 + 42 + 7 + 5 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 503 ways as a sum of consecutive naturals, for example, 25686460791 + ... + 25686460809.

Almost surely, 2^488042755200 is an apocalyptic number.

488042755200 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 488042755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287038978400).

488042755200 is an abundant number, since it is smaller than the sum of its proper divisors (2086035201600).

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

488042755200 is a wasteful number, since it uses less digits than its factorization.

488042755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 488042755200 in words is "four hundred eighty-eight billion, forty-two million, seven hundred fifty-five thousand, two hundred".