8405641344 has 128 divisors (see below), whose sum is σ = 23562489600. Its totient is φ = 2647655424.

The previous prime is 8405641337. The next prime is 8405641373. The reversal of 8405641344 is 4431465048.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3405999 + ... + 3408465.

It is an arithmetic number, because the mean of its divisors is an integer number (184081950).

Almost surely, 2^8405641344 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 8405641344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11781244800).

8405641344 is an abundant number, since it is smaller than the sum of its proper divisors (15156848256).

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

8405641344 is a wasteful number, since it uses less digits than its factorization.

8405641344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 8405641344 is about 91682.2847882839. The cubic root of 8405641344 is about 2033.2476785800.

The spelling of 8405641344 in words is "eight billion, four hundred five million, six hundred forty-one thousand, three hundred forty-four".