1490880589968 has 960 divisors, whose sum is σ = 5371656192000. Its totient is φ = 345095562240.

The previous prime is 1490880589943. The next prime is 1490880590027. The reversal of 1490880589968 is 8699850880941.

It is a self number, because there is not a number n which added to its sum of digits gives 1490880589968.

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, 2488948933 + ... + 2488949531.

It is an arithmetic number, because the mean of its divisors is an integer number (5595475200).

Almost surely, 2^{1490880589968} 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 1490880589968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685828096000).

1490880589968 is an abundant number, since it is smaller than the sum of its proper divisors (3880775602032).

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

1490880589968 is a wasteful number, since it uses less digits than its factorization.

1490880589968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 75.

The spelling of 1490880589968 in words is "one trillion, four hundred ninety billion, eight hundred eighty million, five hundred eighty-nine thousand, nine hundred sixty-eight".