488241148000 has 192 divisors, whose sum is σ = 1260934915968. Its totient is φ = 185436979200.

The previous prime is 488241147973. The next prime is 488241148037. The reversal of 488241148000 is 841142884.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12584632 + ... + 12623368.

It is an arithmetic number, because the mean of its divisors is an integer number (6567369354).

Almost surely, 2^488241148000 is an apocalyptic number.

488241148000 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 488241148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630467457984).

488241148000 is an abundant number, since it is smaller than the sum of its proper divisors (772693767968).

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

488241148000 is a wasteful number, since it uses less digits than its factorization.

488241148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38922 (or 38904 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 488241148000 in words is "four hundred eighty-eight billion, two hundred forty-one million, one hundred forty-eight thousand".