490058956719360 has 6912 divisors, whose sum is σ = 2321592765972480. Its totient is φ = 92748644352000.

The previous prime is 490058956719349. The next prime is 490058956719373. The reversal of 490058956719360 is 63917659850094.

490058956719360 is a `hidden beast` number, since 4 + 9 + 0 + 0 + 58 + 9 + 567 + 1 + 9 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 3740908066495 + ... + 3740908066625.

It is an arithmetic number, because the mean of its divisors is an integer number (335878583040).

Almost surely, 2^{490058956719360} is an apocalyptic number.

490058956719360 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 490058956719360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160796382986240).

490058956719360 is an abundant number, since it is smaller than the sum of its proper divisors (1831533809253120).

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

490058956719360 is a wasteful number, since it uses less digits than its factorization.

490058956719360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 490058956719360 in words is "four hundred ninety trillion, fifty-eight billion, nine hundred fifty-six million, seven hundred nineteen thousand, three hundred sixty".