811338301440 has 400 divisors, whose sum is σ = 2909556549900. Its totient is φ = 216300257280.

The previous prime is 811338301439. The next prime is 811338301453. The reversal of 811338301440 is 44103833118.

It is a happy number.

811338301440 is a `hidden beast` number, since 8 + 1 + 133 + 83 + 0 + 1 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 790932750336 + 20405551104 = 889344^2 + 142848^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 811338301395 and 811338301404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 212334730 + ... + 212338550.

Almost surely, 2^811338301440 is an apocalyptic number.

811338301440 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 811338301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454778274950).

811338301440 is an abundant number, since it is smaller than the sum of its proper divisors (2098218248460).

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

811338301440 is an frugal number, since it uses more digits than its factorization.

811338301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 811338301440 in words is "eight hundred eleven billion, three hundred thirty-eight million, three hundred one thousand, four hundred forty".