18442725840 has 1280 divisors, whose sum is σ = 84566016000. Its totient is φ = 3657830400.

The previous prime is 18442725823. The next prime is 18442725841. The reversal of 18442725840 is 4852724481.

18442725840 is a `hidden beast` number, since 1 + 8 + 44 + 27 + 2 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18442725841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 252640044 + ... + 252640116.

It is an arithmetic number, because the mean of its divisors is an integer number (66067200).

Almost surely, 2^18442725840 is an apocalyptic number.

18442725840 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 18442725840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42283008000).

18442725840 is an abundant number, since it is smaller than the sum of its proper divisors (66123290160).

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

18442725840 is a wasteful number, since it uses less digits than its factorization.

18442725840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 18442725840 in words is "eighteen billion, four hundred forty-two million, seven hundred twenty-five thousand, eight hundred forty".