18408630240 has 1728 divisors, whose sum is σ = 90181099008. Its totient is φ = 3448811520.

The previous prime is 18408630199. The next prime is 18408630259. The reversal of 18408630240 is 4203680481.

18408630240 is a `hidden beast` number, since 1 + 8 + 408 + 6 + 3 + 0 + 240 = 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 = 18408630195 and 18408630204.

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, 428107659 + ... + 428107701.

It is an arithmetic number, because the mean of its divisors is an integer number (52188136).

Almost surely, 2^18408630240 is an apocalyptic number.

18408630240 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 18408630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45090549504).

18408630240 is an abundant number, since it is smaller than the sum of its proper divisors (71772468768).

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

18408630240 is a wasteful number, since it uses less digits than its factorization.

18408630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 18408630240 in words is "eighteen billion, four hundred eight million, six hundred thirty thousand, two hundred forty".