1002260908000 has 576 divisors, whose sum is σ = 2936888031168. Its totient is φ = 334540800000.

The previous prime is 1002260907937. The next prime is 1002260908001. The reversal of 1002260908000 is 8090622001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002260908000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002260908001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 337346515 + ... + 337349485.

It is an arithmetic number, because the mean of its divisors is an integer number (5098763943).

Almost surely, 2^{1002260908000} is an apocalyptic number.

1002260908000 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 1002260908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468444015584).

1002260908000 is an abundant number, since it is smaller than the sum of its proper divisors (1934627123168).

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

1002260908000 is a wasteful number, since it uses less digits than its factorization.

1002260908000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 1002260908000 in words is "one trillion, two billion, two hundred sixty million, nine hundred eight thousand".