488755814400 has 2016 divisors, whose sum is σ = 2200642149888. Its totient is φ = 105106636800.

The previous prime is 488755814399. The next prime is 488755814411. The reversal of 488755814400 is 4418557884.

488755814400 is a `hidden beast` number, since 4 + 8 + 87 + 558 + 1 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×488755814400² (a number of 24 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 8012390370 + ... + 8012390430.

It is an arithmetic number, because the mean of its divisors is an integer number (1091588368).

Almost surely, 2^488755814400 is an apocalyptic number.

488755814400 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 488755814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100321074944).

488755814400 is an abundant number, since it is smaller than the sum of its proper divisors (1711886335488).

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

488755814400 is an equidigital number, since it uses as much as digits as its factorization.

488755814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 488755814400 in words is "four hundred eighty-eight billion, seven hundred fifty-five million, eight hundred fourteen thousand, four hundred".