42840016128 has 720 divisors, whose sum is σ = 159886062336. Its totient is φ = 11107860480.

The previous prime is 42840016111. The next prime is 42840016151. The reversal of 42840016128 is 82161004824.

It is a super-2 number, since 2×42840016128² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42840016092 and 42840016101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 137749093 + ... + 137749403.

Almost surely, 2^42840016128 is an apocalyptic number.

42840016128 is a gapful number since it is divisible by the number (48) 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 42840016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79943031168).

42840016128 is an abundant number, since it is smaller than the sum of its proper divisors (117046046208).

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

42840016128 is a wasteful number, since it uses less digits than its factorization.

42840016128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 42840016128 in words is "forty-two billion, eight hundred forty million, sixteen thousand, one hundred twenty-eight".