8405221376 has 64 divisors (see below), whose sum is σ = 16915894200. Its totient is φ = 4176216064.

The previous prime is 8405221343. The next prime is 8405221393. The reversal of 8405221376 is 6731225048.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5864756 + ... + 5866188.

Almost surely, 2^8405221376 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 8405221376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8457947100).

8405221376 is an abundant number, since it is smaller than the sum of its proper divisors (8510672824).

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

8405221376 is an equidigital number, since it uses as much as digits as its factorization.

8405221376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 8405221376 is about 91679.9944153576. The cubic root of 8405221376 is about 2033.2138158781.

The spelling of 8405221376 in words is "eight billion, four hundred five million, two hundred twenty-one thousand, three hundred seventy-six".