490871715840 has 1440 divisors, whose sum is σ = 1989678010320. Its totient is φ = 115617300480.

The previous prime is 490871715779. The next prime is 490871715881. The reversal of 490871715840 is 48517178094.

490871715840 is a `hidden beast` number, since 49 + 0 + 8 + 7 + 17 + 1 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6724270044 + ... + 6724270116.

Almost surely, 2^490871715840 is an apocalyptic number.

490871715840 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 490871715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994839005160).

490871715840 is an abundant number, since it is smaller than the sum of its proper divisors (1498806294480).

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

490871715840 is a wasteful number, since it uses less digits than its factorization.

490871715840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 490871715840 in words is "four hundred ninety billion, eight hundred seventy-one million, seven hundred fifteen thousand, eight hundred forty".