8394813440 has 104 divisors (see below), whose sum is σ = 21695403408. Its totient is φ = 3099525120.

The previous prime is 8394813391. The next prime is 8394813443. The reversal of 8394813440 is 443184938.

It is a tau number, because it is divible by the number of its divisors (104).

It is a junction number, because it is equal to n+sod(n) for n = 8394813391 and 8394813400.

It is not an unprimeable number, because it can be changed into a prime (8394813443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250475 + ... + 282005.

Almost surely, 2^8394813440 is an apocalyptic number.

8394813440 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 8394813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10847701704).

8394813440 is an abundant number, since it is smaller than the sum of its proper divisors (13300589968).

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

8394813440 is a wasteful number, since it uses less digits than its factorization.

8394813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31573 (or 31551 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 8394813440 is about 91623.2145255775. The cubic root of 8394813440 is about 2032.3742464837.

The spelling of 8394813440 in words is "eight billion, three hundred ninety-four million, eight hundred thirteen thousand, four hundred forty".