490196814275520 has 1344 divisors, whose sum is σ = 1930447836076032. Its totient is φ = 118390309171200.

The previous prime is 490196814275489. The next prime is 490196814275543. The reversal of 490196814275520 is 25572418691094.

490196814275520 is a `hidden beast` number, since 4 + 9 + 0 + 1 + 9 + 6 + 81 + 4 + 27 + 5 + 520 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28048101022 + ... + 28048118498.

It is an arithmetic number, because the mean of its divisors is an integer number (1436345116128).

Almost surely, 2^{490196814275520} is an apocalyptic number.

490196814275520 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 490196814275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965223918038016).

490196814275520 is an abundant number, since it is smaller than the sum of its proper divisors (1440251021800512).

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

490196814275520 is a wasteful number, since it uses less digits than its factorization.

490196814275520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17813 (or 17769 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 490196814275520 in words is "four hundred ninety trillion, one hundred ninety-six billion, eight hundred fourteen million, two hundred seventy-five thousand, five hundred twenty".