810461318004 has 240 divisors, whose sum is σ = 2410076838400. Its totient is φ = 235714510080.

The previous prime is 810461318003. The next prime is 810461318021. The reversal of 810461318004 is 400813164018.

It is a happy number.

810461318004 is a `hidden beast` number, since 8 + 10 + 461 + 3 + 180 + 0 + 4 = 666.

810461318004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 810461318004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810461318003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5542422 + ... + 5686770.

Almost surely, 2^810461318004 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 810461318004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205038419200).

810461318004 is an abundant number, since it is smaller than the sum of its proper divisors (1599615520396).

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

810461318004 is a wasteful number, since it uses less digits than its factorization.

810461318004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144452 (or 144441 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 810461318004 in words is "eight hundred ten billion, four hundred sixty-one million, three hundred eighteen thousand, four".