811961442600 has 768 divisors, whose sum is σ = 3430066176000. Its totient is φ = 153667584000.

The previous prime is 811961442577. The next prime is 811961442613. The reversal of 811961442600 is 6244169118.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24330726 + ... + 24364074.

It is an arithmetic number, because the mean of its divisors is an integer number (4466232000).

Almost surely, 2^811961442600 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 811961442600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715033088000).

811961442600 is an abundant number, since it is smaller than the sum of its proper divisors (2618104733400).

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

811961442600 is a wasteful number, since it uses less digits than its factorization.

811961442600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33434 (or 33425 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 811961442600 in words is "eight hundred eleven billion, nine hundred sixty-one million, four hundred forty-two thousand, six hundred".