406811046096 has 240 divisors, whose sum is σ = 1409636277504. Its totient is φ = 106647791616.

The previous prime is 406811046071. The next prime is 406811046097. The reversal of 406811046096 is 690640118604.

406811046096 is a `hidden beast` number, since 40 + 68 + 1 + 1 + 0 + 460 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406811046097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2095420 + ... + 2281316.

Almost surely, 2^406811046096 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 406811046096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704818138752).

406811046096 is an abundant number, since it is smaller than the sum of its proper divisors (1002825231408).

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

406811046096 is a wasteful number, since it uses less digits than its factorization.

406811046096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186098 (or 186089 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 406811046096 in words is "four hundred six billion, eight hundred eleven million, forty-six thousand, ninety-six".