18718124040 has 1152 divisors, whose sum is σ = 84970529280. Its totient is φ = 3479224320.

The previous prime is 18718124039. The next prime is 18718124053. The reversal of 18718124040 is 4042181781.

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 = 18718123986 and 18718124004.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 119223642 + ... + 119223798.

It is an arithmetic number, because the mean of its divisors is an integer number (73759140).

Almost surely, 2^18718124040 is an apocalyptic number.

18718124040 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 18718124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42485264640).

18718124040 is an abundant number, since it is smaller than the sum of its proper divisors (66252405240).

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

18718124040 is a wasteful number, since it uses less digits than its factorization.

18718124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

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

The spelling of 18718124040 in words is "eighteen billion, seven hundred eighteen million, one hundred twenty-four thousand, forty".