490966438761120 has 1536 divisors, whose sum is σ = 1854359764992000. Its totient is φ = 106867172966400.

The previous prime is 490966438761089. The next prime is 490966438761121. The reversal of 490966438761120 is 21167834669094.

It is not an unprimeable number, because it can be changed into a prime (490966438761121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 795731667052 + ... + 795731667668.

It is an arithmetic number, because the mean of its divisors is an integer number (1207265472000).

Almost surely, 2^{490966438761120} is an apocalyptic number.

490966438761120 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 490966438761120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927179882496000).

490966438761120 is an abundant number, since it is smaller than the sum of its proper divisors (1363393326230880).

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

490966438761120 is a wasteful number, since it uses less digits than its factorization.

490966438761120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 490966438761120 in words is "four hundred ninety trillion, nine hundred sixty-six billion, four hundred thirty-eight million, seven hundred sixty-one thousand, one hundred twenty".