18240419808 has 432 divisors, whose sum is σ = 59786200656. Its totient is φ = 5441955840.

The previous prime is 18240419783. The next prime is 18240419819. The reversal of 18240419808 is 80891404281.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111904335 + ... + 111904497.

It is an arithmetic number, because the mean of its divisors is an integer number (138393983).

Almost surely, 2^18240419808 is an apocalyptic number.

18240419808 is a gapful number since it is divisible by the number (18) 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 18240419808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29893100328).

18240419808 is an abundant number, since it is smaller than the sum of its proper divisors (41545780848).

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

18240419808 is an equidigital number, since it uses as much as digits as its factorization.

18240419808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 18240419808 in words is "eighteen billion, two hundred forty million, four hundred nineteen thousand, eight hundred eight".