490153378325520 has 960 divisors, whose sum is σ = 1909551798005760. Its totient is φ = 101815419543552.

The previous prime is 490153378325509. The next prime is 490153378325531. The reversal of 490153378325520 is 25523873351094.

It is an interprime number because it is at equal distance from previous prime (490153378325509) and next prime (490153378325531).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38787156642 + ... + 38787169278.

It is an arithmetic number, because the mean of its divisors is an integer number (1989116456256).

Almost surely, 2^{490153378325520} is an apocalyptic number.

490153378325520 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 490153378325520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954775899002880).

490153378325520 is an abundant number, since it is smaller than the sum of its proper divisors (1419398419680240).

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

490153378325520 is a wasteful number, since it uses less digits than its factorization.

490153378325520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14792 (or 14773 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 57.

The spelling of 490153378325520 in words is "four hundred ninety trillion, one hundred fifty-three billion, three hundred seventy-eight million, three hundred twenty-five thousand, five hundred twenty".