16442020304024 has 96 divisors (see below), whose sum is σ = 36751015647360. Its totient is φ = 6872041612800.

The previous prime is 16442020303927. The next prime is 16442020304077. The reversal of 16442020304024 is 42040302024461.

16442020304024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×16442020304024³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41445134 + ... + 41839970.

It is an arithmetic number, because the mean of its divisors is an integer number (382823079660).

Almost surely, 2^{16442020304024} is an apocalyptic number.

16442020304024 is a gapful number since it is divisible by the number (14) 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 16442020304024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18375507823680).

16442020304024 is an abundant number, since it is smaller than the sum of its proper divisors (20308995343336).

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

16442020304024 is a wasteful number, since it uses less digits than its factorization.

16442020304024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397489 (or 397478 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 16442020304024 its reverse (42040302024461), we get a palindrome (58482322328485).

The spelling of 16442020304024 in words is "sixteen trillion, four hundred forty-two billion, twenty million, three hundred four thousand, twenty-four".