42008560128 has 240 divisors, whose sum is σ = 127547836416. Its totient is φ = 13284311040.

The previous prime is 42008560117. The next prime is 42008560183. The reversal of 42008560128 is 82106580024.

42008560128 is a `hidden beast` number, since 4 + 20 + 0 + 8 + 5 + 601 + 28 = 666.

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 = 42008560092 and 42008560101.

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, 13458408 + ... + 13461528.

Almost surely, 2^42008560128 is an apocalyptic number.

42008560128 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 42008560128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63773918208).

42008560128 is an abundant number, since it is smaller than the sum of its proper divisors (85539276288).

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

42008560128 is a wasteful number, since it uses less digits than its factorization.

42008560128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 42008560128 in words is "forty-two billion, eight million, five hundred sixty thousand, one hundred twenty-eight".