16442020000420 has 144 divisors (see below), whose sum is σ = 40563879003648. Its totient is φ = 5581374785280.

The previous prime is 16442020000403. The next prime is 16442020000429. The reversal of 16442020000420 is 2400002024461.

It is a happy number.

16442020000420 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 3×16442020000420³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (16442020000429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587557749 + ... + 587585731.

It is an arithmetic number, because the mean of its divisors is an integer number (281693604192).

Almost surely, 2^{16442020000420} is an apocalyptic number.

16442020000420 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 16442020000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20281939501824).

16442020000420 is an abundant number, since it is smaller than the sum of its proper divisors (24121859003228).

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

16442020000420 is a wasteful number, since it uses less digits than its factorization.

16442020000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33930 (or 33921 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 16442020000420 its reverse (2400002024461), we get a palindrome (18842022024881).

The spelling of 16442020000420 in words is "sixteen trillion, four hundred forty-two billion, twenty million, four hundred twenty", and thus it is an aban number.