810041395680 has 288 divisors, whose sum is σ = 3119549902560. Its totient is φ = 189602058240.

The previous prime is 810041395627. The next prime is 810041395703. The reversal of 810041395680 is 86593140018.

810041395680 is a `hidden beast` number, since 8 + 10 + 0 + 41 + 39 + 568 + 0 = 666.

810041395680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422347 + ... + 1341066.

It is an arithmetic number, because the mean of its divisors is an integer number (10831770495).

Almost surely, 2^810041395680 is an apocalyptic number.

810041395680 is a gapful number since it is divisible by the number (80) 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 810041395680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559774951280).

810041395680 is an abundant number, since it is smaller than the sum of its proper divisors (2309508506880).

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

810041395680 is a wasteful number, since it uses less digits than its factorization.

810041395680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763474 (or 1763463 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 810041395680 in words is "eight hundred ten billion, forty-one million, three hundred ninety-five thousand, six hundred eighty".