1002289464960 has 512 divisors, whose sum is σ = 3731956416000. Its totient is φ = 228711038976.

The previous prime is 1002289464871. The next prime is 1002289464961. The reversal of 1002289464960 is 694649822001.

It is not an unprimeable number, because it can be changed into a prime (1002289464961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627606882 + ... + 627608478.

It is an arithmetic number, because the mean of its divisors is an integer number (7288977375).

Almost surely, 2^{1002289464960} is an apocalyptic number.

1002289464960 is a gapful number since it is divisible by the number (10) 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 1002289464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865978208000).

1002289464960 is an abundant number, since it is smaller than the sum of its proper divisors (2729666951040).

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

1002289464960 is an equidigital number, since it uses as much as digits as its factorization.

1002289464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 1002289464960 in words is "one trillion, two billion, two hundred eighty-nine million, four hundred sixty-four thousand, nine hundred sixty".