18744420240 has 480 divisors, whose sum is σ = 78558305280. Its totient is φ = 3899695104.

The previous prime is 18744420229. The next prime is 18744420241. The reversal of 18744420240 is 4202444781.

18744420240 is a `hidden beast` number, since 1 + 8 + 7 + 444 + 202 + 4 + 0 = 666.

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 = 18744420195 and 18744420204.

It is not an unprimeable number, because it can be changed into a prime (18744420241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4781001 + ... + 4784919.

It is an arithmetic number, because the mean of its divisors is an integer number (163663136).

Almost surely, 2^18744420240 is an apocalyptic number.

18744420240 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 18744420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39279152640).

18744420240 is an abundant number, since it is smaller than the sum of its proper divisors (59813885040).

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

18744420240 is a wasteful number, since it uses less digits than its factorization.

18744420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 18744420240 in words is "eighteen billion, seven hundred forty-four million, four hundred twenty thousand, two hundred forty".