842422768128 has 150 divisors (see below), whose sum is σ = 2514968158131. Its totient is φ = 280745284608.

The previous prime is 842422768067. The next prime is 842422768147. The reversal of 842422768128 is 821867224248.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

842422768128 is a `hidden beast` number, since 8 + 4 + 242 + 276 + 8 + 128 = 666.

It can be written as a sum of positive squares in only one way, i.e., 421211384064 + 421211384064 = 649008^2 + 649008^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=649008.

It is a super-2 number, since 2×842422768128² (a number of 25 digits) contains 22 as substring.

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

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 14 ways as a sum of consecutive naturals, for example, 186912051 + ... + 186916557.

Almost surely, 2^842422768128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842422768128

842422768128 is an abundant number, since it is smaller than the sum of its proper divisors (1672545390003).

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

842422768128 is an frugal number, since it uses more digits than its factorization.

842422768128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9044 (or 4512 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The spelling of 842422768128 in words is "eight hundred forty-two billion, four hundred twenty-two million, seven hundred sixty-eight thousand, one hundred twenty-eight".