818840241440 has 192 divisors, whose sum is σ = 2124518699520. Its totient is φ = 296390430720.

The previous prime is 818840241431. The next prime is 818840241451. The reversal of 818840241440 is 44142048818.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 818840241391 and 818840241400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45029150 + ... + 45047330.

It is an arithmetic number, because the mean of its divisors is an integer number (11065201560).

Almost surely, 2^818840241440 is an apocalyptic number.

818840241440 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 818840241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062259349760).

818840241440 is an abundant number, since it is smaller than the sum of its proper divisors (1305678458080).

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

818840241440 is a wasteful number, since it uses less digits than its factorization.

818840241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18635 (or 18627 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The spelling of 818840241440 in words is "eight hundred eighteen billion, eight hundred forty million, two hundred forty-one thousand, four hundred forty".