490141388800 has 1248 divisors, whose sum is σ = 1623469305600. Its totient is φ = 142690222080.

The previous prime is 490141388797. The next prime is 490141388899. The reversal of 490141388800 is 8883141094.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6714265564 + ... + 6714265636.

Almost surely, 2^490141388800 is an apocalyptic number.

490141388800 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 490141388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811734652800).

490141388800 is an abundant number, since it is smaller than the sum of its proper divisors (1133327916800).

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

490141388800 is a wasteful number, since it uses less digits than its factorization.

490141388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The spelling of 490141388800 in words is "four hundred ninety billion, one hundred forty-one million, three hundred eighty-eight thousand, eight hundred".