4291211716688 has 80 divisors (see below), whose sum is σ = 9049302422160. Its totient is φ = 1959483322368.

The previous prime is 4291211716657. The next prime is 4291211716711. The reversal of 4291211716688 is 8866171121924.

It can be written as a sum of positive squares in 8 ways, for example, as 45996523024 + 4245215193664 = 214468^2 + 2060392^2 .

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 15209156 + ... + 15488732.

It is an arithmetic number, because the mean of its divisors is an integer number (113116280277).

Almost surely, 2^{4291211716688} 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 4291211716688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524651211080).

4291211716688 is an abundant number, since it is smaller than the sum of its proper divisors (4758090705472).

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

4291211716688 is a wasteful number, since it uses less digits than its factorization.

4291211716688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280384 (or 280378 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 56.

The spelling of 4291211716688 in words is "four trillion, two hundred ninety-one billion, two hundred eleven million, seven hundred sixteen thousand, six hundred eighty-eight".