488132140320 has 1728 divisors, whose sum is σ = 2061282263040. Its totient is φ = 108637562880.

The previous prime is 488132140297. The next prime is 488132140411. The reversal of 488132140320 is 23041231884.

It is a happy number.

488132140320 is a `hidden beast` number, since 4 + 8 + 8 + 1 + 321 + 4 + 0 + 320 = 666.

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 3843560097 + ... + 3843560223.

It is an arithmetic number, because the mean of its divisors is an integer number (1192871680).

Almost surely, 2^488132140320 is an apocalyptic number.

488132140320 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 488132140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030641131520).

488132140320 is an abundant number, since it is smaller than the sum of its proper divisors (1573150122720).

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

488132140320 is a wasteful number, since it uses less digits than its factorization.

488132140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 488132140320 in words is "four hundred eighty-eight billion, one hundred thirty-two million, one hundred forty thousand, three hundred twenty".