490960090280880 has 3840 divisors, whose sum is σ = 2065857988626432. Its totient is φ = 107909480448000.

The previous prime is 490960090280873. The next prime is 490960090280953. The reversal of 490960090280880 is 88082090069094.

490960090280880 is a `hidden beast` number, since 490 + 9 + 60 + 0 + 9 + 0 + 2 + 8 + 0 + 8 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1910350545712 + ... + 1910350545968.

Almost surely, 2^{490960090280880} is an apocalyptic number.

490960090280880 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 490960090280880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032928994313216).

490960090280880 is an abundant number, since it is smaller than the sum of its proper divisors (1574897898345552).

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

490960090280880 is a wasteful number, since it uses less digits than its factorization.

490960090280880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 490960090280880 in words is "four hundred ninety trillion, nine hundred sixty billion, ninety million, two hundred eighty thousand, eight hundred eighty".