814041210690 has 224 divisors, whose sum is σ = 2227461949440. Its totient is φ = 214068365568.

The previous prime is 814041210679. The next prime is 814041210707. The reversal of 814041210690 is 96012140418.

814041210690 is a `hidden beast` number, since 8 + 140 + 412 + 10 + 6 + 90 = 666.

It is a super-2 number, since 2×814041210690² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 489500799 + ... + 489502461.

It is an arithmetic number, because the mean of its divisors is an integer number (9944026560).

Almost surely, 2^814041210690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814041210690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113730974720).

814041210690 is an abundant number, since it is smaller than the sum of its proper divisors (1413420738750).

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

814041210690 is a wasteful number, since it uses less digits than its factorization.

814041210690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 814041210690 in words is "eight hundred fourteen billion, forty-one million, two hundred ten thousand, six hundred ninety".