488840140800 has 2304 divisors, whose sum is σ = 2176060723200. Its totient is φ = 106168320000.

The previous prime is 488840140777. The next prime is 488840140801. The reversal of 488840140800 is 8041048884.

488840140800 is a `hidden beast` number, since 488 + 84 + 0 + 14 + 0 + 80 + 0 = 666.

488840140800 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488840140801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8013772770 + ... + 8013772830.

It is an arithmetic number, because the mean of its divisors is an integer number (944470800).

Almost surely, 2^488840140800 is an apocalyptic number.

488840140800 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 488840140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088030361600).

488840140800 is an abundant number, since it is smaller than the sum of its proper divisors (1687220582400).

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

488840140800 is a wasteful number, since it uses less digits than its factorization.

488840140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 488840140800 in words is "four hundred eighty-eight billion, eight hundred forty million, one hundred forty thousand, eight hundred".