490450013040 has 320 divisors, whose sum is σ = 1689411870720. Its totient is φ = 116930027520.

The previous prime is 490450013029. The next prime is 490450013041. The reversal of 490450013040 is 40310054094.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 490450012989 and 490450013007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490450013041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17767089 + ... + 17794671.

It is an arithmetic number, because the mean of its divisors is an integer number (5279412096).

Almost surely, 2^490450013040 is an apocalyptic number.

490450013040 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 490450013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844705935360).

490450013040 is an abundant number, since it is smaller than the sum of its proper divisors (1198961857680).

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

490450013040 is a wasteful number, since it uses less digits than its factorization.

490450013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27792 (or 27786 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 490450013040 in words is "four hundred ninety billion, four hundred fifty million, thirteen thousand, forty".