488697555197440 has 320 divisors, whose sum is σ = 1236942355176000. Its totient is φ = 184658983649280.

The previous prime is 488697555197429. The next prime is 488697555197441. The reversal of 488697555197440 is 44791555796884.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488697555197441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70205075560 + ... + 70205082520.

It is an arithmetic number, because the mean of its divisors is an integer number (3865444859925).

Almost surely, 2^{488697555197440} is an apocalyptic number.

488697555197440 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 488697555197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618471177588000).

488697555197440 is an abundant number, since it is smaller than the sum of its proper divisors (748244799978560).

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

488697555197440 is a wasteful number, since it uses less digits than its factorization.

488697555197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10941 (or 10925 counting only the distinct ones).

The product of its (nonzero) digits is 12192768000, while the sum is 82.

The spelling of 488697555197440 in words is "four hundred eighty-eight trillion, six hundred ninety-seven billion, five hundred fifty-five million, one hundred ninety-seven thousand, four hundred forty".