488100963840 has 320 divisors, whose sum is σ = 1819715673600. Its totient is φ = 111565332480.

The previous prime is 488100963797. The next prime is 488100963859. The reversal of 488100963840 is 48369001884.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2541595 + ... + 2726885.

It is an arithmetic number, because the mean of its divisors is an integer number (5686611480).

Almost surely, 2^488100963840 is an apocalyptic number.

488100963840 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 488100963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909857836800).

488100963840 is an abundant number, since it is smaller than the sum of its proper divisors (1331614709760).

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

488100963840 is an equidigital number, since it uses as much as digits as its factorization.

488100963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185338 (or 185308 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 488100963840 in words is "four hundred eighty-eight billion, one hundred million, nine hundred sixty-three thousand, eight hundred forty".