16442118720 has 336 divisors, whose sum is σ = 58912963200. Its totient is φ = 4364845056.

The previous prime is 16442118713. The next prime is 16442118731. The reversal of 16442118720 is 2781124461.

It is a happy number.

16442118720 is a `hidden beast` number, since 1 + 644 + 2 + 1 + 1 + 8 + 7 + 2 + 0 = 666.

It is a super-3 number, since 3×16442118720³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 27448981 + ... + 27449579.

It is an arithmetic number, because the mean of its divisors is an integer number (175336200).

Almost surely, 2^16442118720 is an apocalyptic number.

16442118720 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 16442118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29456481600).

16442118720 is an abundant number, since it is smaller than the sum of its proper divisors (42470844480).

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

16442118720 is an equidigital number, since it uses as much as digits as its factorization.

16442118720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 16442118720 in words is "sixteen billion, four hundred forty-two million, one hundred eighteen thousand, seven hundred twenty".