490746718138880 has 320 divisors, whose sum is σ = 1347635254394880. Its totient is φ = 167893195997184.

The previous prime is 490746718138837. The next prime is 490746718138933. The reversal of 490746718138880 is 88831817647094.

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

It is a junction number, because it is equal to n+sod(n) for n = 490746718138798 and 490746718138807.

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, 31951728641 + ... + 31951743999.

It is an arithmetic number, because the mean of its divisors is an integer number (4211360169984).

Almost surely, 2^{490746718138880} is an apocalyptic number.

490746718138880 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 490746718138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673817627197440).

490746718138880 is an abundant number, since it is smaller than the sum of its proper divisors (856888536256000).

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

490746718138880 is a wasteful number, since it uses less digits than its factorization.

490746718138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19119 (or 19103 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 74.

The spelling of 490746718138880 in words is "four hundred ninety trillion, seven hundred forty-six billion, seven hundred eighteen million, one hundred thirty-eight thousand, eight hundred eighty".