8213399040 has 1280 divisors, whose sum is σ = 37334753280. Its totient is φ = 1486356480.

The previous prime is 8213399039. The next prime is 8213399063. The reversal of 8213399040 is 409933128.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 8213399040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 191009259 + ... + 191009301.

It is an arithmetic number, because the mean of its divisors is an integer number (29167776).

Almost surely, 2^8213399040 is an apocalyptic number.

8213399040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8213399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18667376640).

8213399040 is an abundant number, since it is smaller than the sum of its proper divisors (29121354240).

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

8213399040 is a wasteful number, since it uses less digits than its factorization.

8213399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 8213399040 is about 90627.8050048659. The cubic root of 8213399040 is about 2017.6274336818.

It can be divided in two parts, 8213 and 399040, that added together give a triangular number (407253 = T₉₀₂).

The spelling of 8213399040 in words is "eight billion, two hundred thirteen million, three hundred ninety-nine thousand, forty".