488082309120000 has 4000 divisors, whose sum is σ = 2168912258409600. Its totient is φ = 107017666560000.

The previous prime is 488082309119981. The next prime is 488082309120013. The reversal of 488082309120000 is 21903280884.

488082309120000 is a `hidden beast` number, since 488 + 0 + 82 + 3 + 0 + 91 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4000).

It is a super-2 number, since 2×488082309120000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 6874398719965 + ... + 6874398720035.

Almost surely, 2^{488082309120000} is an apocalyptic number.

488082309120000 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 488082309120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084456129204800).

488082309120000 is an abundant number, since it is smaller than the sum of its proper divisors (1680829949289600).

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

488082309120000 is an frugal number, since it uses more digits than its factorization.

488082309120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 488082309120000 in words is "four hundred eighty-eight trillion, eighty-two billion, three hundred nine million, one hundred twenty thousand".