490438303040 has 448 divisors, whose sum is σ = 1432959897600. Its totient is φ = 159503984640.

The previous prime is 490438302983. The next prime is 490438303123. The reversal of 490438303040 is 40303834094.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 490438302985 and 490438303003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 330706139 + ... + 330707621.

It is an arithmetic number, because the mean of its divisors is an integer number (3198571200).

Almost surely, 2^490438303040 is an apocalyptic number.

490438303040 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 490438303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716479948800).

490438303040 is an abundant number, since it is smaller than the sum of its proper divisors (942521594560).

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

490438303040 is a wasteful number, since it uses less digits than its factorization.

490438303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 490438303040 in words is "four hundred ninety billion, four hundred thirty-eight million, three hundred three thousand, forty".