8041405212 has 144 divisors (see below), whose sum is σ = 22186251360. Its totient is φ = 2445520896.

The previous prime is 8041405147. The next prime is 8041405213. The reversal of 8041405212 is 2125041408.

8041405212 is a `hidden beast` number, since 8 + 0 + 41 + 405 + 212 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8041405213) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8581608 + ... + 8582544.

It is an arithmetic number, because the mean of its divisors is an integer number (154071190).

Almost surely, 2^8041405212 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 8041405212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11093125680).

8041405212 is an abundant number, since it is smaller than the sum of its proper divisors (14144846148).

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

8041405212 is a wasteful number, since it uses less digits than its factorization.

8041405212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8041405212 is about 89673.8825522794. The cubic root of 8041405212 is about 2003.4444986423. Note that the first 4 decimals are identical.

The spelling of 8041405212 in words is "eight billion, forty-one million, four hundred five thousand, two hundred twelve".