12818017440 has 144 divisors (see below), whose sum is σ = 44341046568. Its totient is φ = 3371286528.

The previous prime is 12818017439. The next prime is 12818017463. The reversal of 12818017440 is 4471081821.

12818017440 is a `hidden beast` number, since 1 + 28 + 180 + 17 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8332768656 + 4485248784 = 91284^2 + 66972^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12818017395 and 12818017404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44152 + ... + 166088.

Almost surely, 2^12818017440 is an apocalyptic number.

12818017440 is a gapful number since it is divisible by the number (10) 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 12818017440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22170523284).

12818017440 is an abundant number, since it is smaller than the sum of its proper divisors (31523029128).

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

12818017440 is a wasteful number, since it uses less digits than its factorization.

12818017440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122031 (or 122020 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 12818017440 in words is "twelve billion, eight hundred eighteen million, seventeen thousand, four hundred forty".