490440669506424 has 576 divisors, whose sum is σ = 1649704417920000. Its totient is φ = 128881920780288.

The previous prime is 490440669506377. The next prime is 490440669506449. The reversal of 490440669506424 is 424605966044094.

It is a happy number.

490440669506424 is a `hidden beast` number, since 4 + 9 + 0 + 4 + 40 + 6 + 69 + 506 + 4 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 32015180637 + ... + 32015195955.

It is an arithmetic number, because the mean of its divisors is an integer number (2864070170000).

Almost surely, 2^{490440669506424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490440669506424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824852208960000).

490440669506424 is an abundant number, since it is smaller than the sum of its proper divisors (1159263748413576).

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

490440669506424 is a wasteful number, since it uses less digits than its factorization.

490440669506424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16692 (or 16672 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 63.

The spelling of 490440669506424 in words is "four hundred ninety trillion, four hundred forty billion, six hundred sixty-nine million, five hundred six thousand, four hundred twenty-four".