18085309440 has 352 divisors, whose sum is σ = 65297007360. Its totient is φ = 4231987200.

The previous prime is 18085309379. The next prime is 18085309447. The reversal of 18085309440 is 4490358081.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×18085309440² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 18085309392 and 18085309401.

It is not an unprimeable number, because it can be changed into a prime (18085309447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4897995 + ... + 4901685.

Almost surely, 2^18085309440 is an apocalyptic number.

18085309440 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 18085309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32648503680).

18085309440 is an abundant number, since it is smaller than the sum of its proper divisors (47211697920).

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

18085309440 is a wasteful number, since it uses less digits than its factorization.

18085309440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 18085309440 in words is "eighteen billion, eighty-five million, three hundred nine thousand, four hundred forty".