18024422400 has 528 divisors, whose sum is σ = 67162888800. Its totient is φ = 4736286720.

The previous prime is 18024422369. The next prime is 18024422401. The reversal of 18024422400 is 422442081.

18024422400 is a `hidden beast` number, since 18 + 0 + 244 + 2 + 2 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18024422401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61516654 + ... + 61516946.

Almost surely, 2^18024422400 is an apocalyptic number.

18024422400 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 18024422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33581444400).

18024422400 is an abundant number, since it is smaller than the sum of its proper divisors (49138466400).

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

18024422400 is a wasteful number, since it uses less digits than its factorization.

18024422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 18024422400 its reverse (422442081), we get a palindrome (18446864481).

The spelling of 18024422400 in words is "eighteen billion, twenty-four million, four hundred twenty-two thousand, four hundred".