18421240320 has 1000 divisors, whose sum is σ = 79051289724. Its totient is φ = 4096770048.

The previous prime is 18421240237. The next prime is 18421240361. The reversal of 18421240320 is 2304212481.

18421240320 is a `hidden beast` number, since 1 + 84 + 21 + 240 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17973156096 + 448084224 = 134064^2 + 21168^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 497871342 + ... + 497871378.

Almost surely, 2^18421240320 is an apocalyptic number.

18421240320 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 18421240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39525644862).

18421240320 is an abundant number, since it is smaller than the sum of its proper divisors (60630049404).

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

18421240320 is an frugal number, since it uses more digits than its factorization.

18421240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 18421240320 in words is "eighteen billion, four hundred twenty-one million, two hundred forty thousand, three hundred twenty".