810379261440 has 2240 divisors, whose sum is σ = 3651752522880. Its totient is φ = 168170618880.

The previous prime is 810379261381. The next prime is 810379261507. The reversal of 810379261440 is 44162973018.

810379261440 is a `hidden beast` number, since 8 + 10 + 379 + 261 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 9105384916 + ... + 9105385004.

It is an arithmetic number, because the mean of its divisors is an integer number (1630246662).

Almost surely, 2^810379261440 is an apocalyptic number.

810379261440 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 810379261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825876261440).

810379261440 is an abundant number, since it is smaller than the sum of its proper divisors (2841373261440).

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

810379261440 is an equidigital number, since it uses as much as digits as its factorization.

810379261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 810379261440 in words is "eight hundred ten billion, three hundred seventy-nine million, two hundred sixty-one thousand, four hundred forty".