818413440 has 128 divisors (see below), whose sum is σ = 2809447200. Its totient is φ = 201449472.

The previous prime is 818413433. The next prime is 818413459. The reversal of 818413440 is 44314818.

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

It is a zygodrome in base 2.

It is a congruent number.

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, 8566 + ... + 41354.

Almost surely, 2^818413440 is an apocalyptic number.

818413440 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 818413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404723600).

818413440 is an abundant number, since it is smaller than the sum of its proper divisors (1991033760).

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

818413440 is a wasteful number, since it uses less digits than its factorization.

818413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32824 (or 32812 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 818413440 is about 28607.9261744014. The cubic root of 818413440 is about 935.3861121815.

The spelling of 818413440 in words is "eight hundred eighteen million, four hundred thirteen thousand, four hundred forty".