1002717196416 has 384 divisors, whose sum is σ = 3196855574640. Its totient is φ = 299673354240.

The previous prime is 1002717196361. The next prime is 1002717196433. The reversal of 1002717196416 is 6146917172001.

1002717196416 is a `hidden beast` number, since 10 + 0 + 2 + 71 + 71 + 96 + 416 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 347977290816 + 654739905600 = 589896^2 + 809160^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 428327406 + ... + 428329746.

Almost surely, 2^{1002717196416} is an apocalyptic number.

1002717196416 is a gapful number since it is divisible by the number (16) 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 1002717196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598427787320).

1002717196416 is an abundant number, since it is smaller than the sum of its proper divisors (2194138378224).

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

1002717196416 is a wasteful number, since it uses less digits than its factorization.

1002717196416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 1002717196416 in words is "one trillion, two billion, seven hundred seventeen million, one hundred ninety-six thousand, four hundred sixteen".