488003140800 has 672 divisors, whose sum is σ = 2098712023040. Its totient is φ = 107943321600.

The previous prime is 488003140799. The next prime is 488003140841. The reversal of 488003140800 is 8041300884.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9348372 + ... + 9400428.

Almost surely, 2^488003140800 is an apocalyptic number.

488003140800 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 488003140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049356011520).

488003140800 is an abundant number, since it is smaller than the sum of its proper divisors (1610708882240).

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

488003140800 is a wasteful number, since it uses less digits than its factorization.

488003140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52126 (or 52105 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 488003140800 in words is "four hundred eighty-eight billion, three million, one hundred forty thousand, eight hundred".