490600503040 has 288 divisors, whose sum is σ = 1274456042496. Its totient is φ = 180268892160.

The previous prime is 490600502999. The next prime is 490600503047. The reversal of 490600503040 is 40305006094.

It is a junction number, because it is equal to n+sod(n) for n = 490600502993 and 490600503011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490600503047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159129339 + ... + 159132421.

It is an arithmetic number, because the mean of its divisors is an integer number (4425194592).

Almost surely, 2^490600503040 is an apocalyptic number.

490600503040 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 490600503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637228021248).

490600503040 is an abundant number, since it is smaller than the sum of its proper divisors (783855539456).

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

490600503040 is a wasteful number, since it uses less digits than its factorization.

490600503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 490600503040 in words is "four hundred ninety billion, six hundred million, five hundred three thousand, forty".