490250564401320 has 640 divisors, whose sum is σ = 1775135322576000. Its totient is φ = 120985621954560.

The previous prime is 490250564401307. The next prime is 490250564401327. The reversal of 490250564401320 is 23104465052094.

490250564401320 is a `hidden beast` number, since 4 + 9 + 0 + 2 + 50 + 564 + 4 + 0 + 1 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (490250564401327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 454204680 + ... + 455282760.

It is an arithmetic number, because the mean of its divisors is an integer number (2773648941525).

Almost surely, 2^{490250564401320} is an apocalyptic number.

490250564401320 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 490250564401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887567661288000).

490250564401320 is an abundant number, since it is smaller than the sum of its proper divisors (1284884758174680).

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

490250564401320 is a wasteful number, since it uses less digits than its factorization.

490250564401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078295 (or 1078282 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 490250564401320 in words is "four hundred ninety trillion, two hundred fifty billion, five hundred sixty-four million, four hundred one thousand, three hundred twenty".