18084400417728 has 224 divisors, whose sum is σ = 53840893201920. Its totient is φ = 6025921558272.

The previous prime is 18084400417723. The next prime is 18084400417747. The reversal of 18084400417728 is 82771400448081.

18084400417728 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 440 + 0 + 4 + 177 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18084400417723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406304851 + ... + 406349357.

Almost surely, 2^{18084400417728} is an apocalyptic number.

18084400417728 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 18084400417728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26920446600960).

18084400417728 is an abundant number, since it is smaller than the sum of its proper divisors (35756492784192).

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

18084400417728 is an frugal number, since it uses more digits than its factorization.

18084400417728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47443 (or 47415 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 18084400417728 in words is "eighteen trillion, eighty-four billion, four hundred million, four hundred seventeen thousand, seven hundred twenty-eight".