811940436480 has 320 divisors, whose sum is σ = 2670354086400. Its totient is φ = 210333204480.

The previous prime is 811940436479. The next prime is 811940436491. The reversal of 811940436480 is 84634049118.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 75250926 + ... + 75261714.

It is an arithmetic number, because the mean of its divisors is an integer number (8344856520).

Almost surely, 2^811940436480 is an apocalyptic number.

811940436480 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 811940436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335177043200).

811940436480 is an abundant number, since it is smaller than the sum of its proper divisors (1858413649920).

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

811940436480 is a wasteful number, since it uses less digits than its factorization.

811940436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11095 (or 11079 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 811940436480 in words is "eight hundred eleven billion, nine hundred forty million, four hundred thirty-six thousand, four hundred eighty".