490811141521008 has 1280 divisors, whose sum is σ = 1804761630720000. Its totient is φ = 126598729420800.

The previous prime is 490811141520901. The next prime is 490811141521033. The reversal of 490811141521008 is 800125141118094.

490811141521008 is a `hidden beast` number, since 4 + 9 + 0 + 8 + 1 + 11 + 415 + 210 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 188122322008 + ... + 188122324616.

It is an arithmetic number, because the mean of its divisors is an integer number (1409970024000).

Almost surely, 2^{490811141521008} is an apocalyptic number.

490811141521008 is a gapful number since it is divisible by the number (48) 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 490811141521008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902380815360000).

490811141521008 is an abundant number, since it is smaller than the sum of its proper divisors (1313950489198992).

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

490811141521008 is a wasteful number, since it uses less digits than its factorization.

490811141521008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 490811141521008 in words is "four hundred ninety trillion, eight hundred eleven billion, one hundred forty-one million, five hundred twenty-one thousand, eight".