490123810848000 has 864 divisors, whose sum is σ = 1895554338507648. Its totient is φ = 111920578560000.

The previous prime is 490123810847987. The next prime is 490123810848029. The reversal of 490123810848000 is 848018321094.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 4943854432 + ... + 4943953568.

It is an arithmetic number, because the mean of its divisors is an integer number (2193928632532).

Almost surely, 2^{490123810848000} is an apocalyptic number.

490123810848000 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 490123810848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947777169253824).

490123810848000 is an abundant number, since it is smaller than the sum of its proper divisors (1405430527659648).

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

490123810848000 is a wasteful number, since it uses less digits than its factorization.

490123810848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100236 (or 100205 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 490123810848000 in words is "four hundred ninety trillion, one hundred twenty-three billion, eight hundred ten million, eight hundred forty-eight thousand".