42675376128 has 832 divisors, whose sum is σ = 154901901312. Its totient is φ = 10121379840.

The previous prime is 42675376111. The next prime is 42675376129. The reversal of 42675376128 is 82167357624.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42675376129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 805195750 + ... + 805195802.

Almost surely, 2^42675376128 is an apocalyptic number.

42675376128 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 42675376128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77450950656).

42675376128 is an abundant number, since it is smaller than the sum of its proper divisors (112226525184).

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

42675376128 is a wasteful number, since it uses less digits than its factorization.

42675376128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 136 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The spelling of 42675376128 in words is "forty-two billion, six hundred seventy-five million, three hundred seventy-six thousand, one hundred twenty-eight".