810333128416 has 216 divisors, whose sum is σ = 1934979898320. Its totient is φ = 333038684160.

The previous prime is 810333128413. The next prime is 810333128419. The reversal of 810333128416 is 614821333018.

It is an interprime number because it is at equal distance from previous prime (810333128413) and next prime (810333128419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810333128413) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 170271445 + ... + 170276203.

It is an arithmetic number, because the mean of its divisors is an integer number (8958240270).

Almost surely, 2^810333128416 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 810333128416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967489949160).

810333128416 is an abundant number, since it is smaller than the sum of its proper divisors (1124646769904).

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

810333128416 is a wasteful number, since it uses less digits than its factorization.

810333128416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958 (or 4912 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 810333128416 in words is "eight hundred ten billion, three hundred thirty-three million, one hundred twenty-eight thousand, four hundred sixteen".