490943638080 has 672 divisors, whose sum is σ = 1981992480000. Its totient is φ = 111490670592.

The previous prime is 490943638007. The next prime is 490943638091. The reversal of 490943638080 is 80836349094.

It is a happy number.

490943638080 is a `hidden beast` number, since 49 + 0 + 94 + 363 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161016396 + ... + 161019444.

Almost surely, 2^490943638080 is an apocalyptic number.

490943638080 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 490943638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990996240000).

490943638080 is an abundant number, since it is smaller than the sum of its proper divisors (1491048841920).

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

490943638080 is a wasteful number, since it uses less digits than its factorization.

490943638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 490943638080 in words is "four hundred ninety billion, nine hundred forty-three million, six hundred thirty-eight thousand, eighty".