490421081088 has 220 divisors, whose sum is σ = 1466579495700. Its totient is φ = 163240869888.

The previous prime is 490421081053. The next prime is 490421081167. The reversal of 490421081088 is 880180124094.

490421081088 is a `hidden beast` number, since 490 + 4 + 2 + 1 + 0 + 81 + 0 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26104218624 + 464316862464 = 161568^2 + 681408^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64111888 + ... + 64119536.

It is an arithmetic number, because the mean of its divisors is an integer number (6666270435).

Almost surely, 2^490421081088 is an apocalyptic number.

490421081088 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 490421081088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733289747850).

490421081088 is an abundant number, since it is smaller than the sum of its proper divisors (976158414612).

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

490421081088 is an equidigital number, since it uses as much as digits as its factorization.

490421081088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8454 (or 8427 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 490421081088 in words is "four hundred ninety billion, four hundred twenty-one million, eighty-one thousand, eighty-eight".