488403736128 has 448 divisors, whose sum is σ = 1792130365440. Its totient is φ = 126714931200.

The previous prime is 488403736087. The next prime is 488403736169. The reversal of 488403736128 is 821637304884.

488403736128 is a `hidden beast` number, since 4 + 88 + 403 + 7 + 36 + 128 = 666.

It is an interprime number because it is at equal distance from previous prime (488403736087) and next prime (488403736169).

It is a tau number, because it is divible by the number of its divisors (448).

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

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 63 ways as a sum of consecutive naturals, for example, 170709418 + ... + 170712278.

Almost surely, 2^488403736128 is an apocalyptic number.

488403736128 is a gapful number since it is divisible by the number (48) 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 488403736128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896065182720).

488403736128 is an abundant number, since it is smaller than the sum of its proper divisors (1303726629312).

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

488403736128 is a wasteful number, since it uses less digits than its factorization.

488403736128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 488403736128 in words is "four hundred eighty-eight billion, four hundred three million, seven hundred thirty-six thousand, one hundred twenty-eight".