490842352000 has 1024 divisors, whose sum is σ = 1725828249600. Its totient is φ = 133705728000.

The previous prime is 490842351953. The next prime is 490842352043. The reversal of 490842352000 is 253248094.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 304303194 + ... + 304304806.

It is an arithmetic number, because the mean of its divisors is an integer number (1685379150).

Almost surely, 2^490842352000 is an apocalyptic number.

490842352000 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 490842352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862914124800).

490842352000 is an abundant number, since it is smaller than the sum of its proper divisors (1234985897600).

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

490842352000 is a wasteful number, since it uses less digits than its factorization.

490842352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 490842352000 in words is "four hundred ninety billion, eight hundred forty-two million, three hundred fifty-two thousand".