1002191614080 has 512 divisors, whose sum is σ = 3435432134400. Its totient is φ = 247994449920.

The previous prime is 1002191614049. The next prime is 1002191614111. The reversal of 1002191614080 is 804161912001.

It is an interprime number because it is at equal distance from previous prime (1002191614049) and next prime (1002191614111).

It is an unprimeable number.

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, 170990350 + ... + 170996210.

Almost surely, 2^{1002191614080} is an apocalyptic number.

1002191614080 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 1002191614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717716067200).

1002191614080 is an abundant number, since it is smaller than the sum of its proper divisors (2433240520320).

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

1002191614080 is a wasteful number, since it uses less digits than its factorization.

1002191614080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6032 (or 6020 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The spelling of 1002191614080 in words is "one trillion, two billion, one hundred ninety-one million, six hundred fourteen thousand, eighty".