42375947328 has 672 divisors, whose sum is σ = 154212170112. Its totient is φ = 10926489600.

The previous prime is 42375947309. The next prime is 42375947351. The reversal of 42375947328 is 82374957324.

It is a happy number.

42375947328 is a `hidden beast` number, since 4 + 23 + 7 + 594 + 7 + 3 + 28 = 666.

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 95 ways as a sum of consecutive naturals, for example, 74213283 + ... + 74213853.

It is an arithmetic number, because the mean of its divisors is an integer number (229482396).

Almost surely, 2^42375947328 is an apocalyptic number.

42375947328 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 42375947328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77106085056).

42375947328 is an abundant number, since it is smaller than the sum of its proper divisors (111836222784).

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

42375947328 is a wasteful number, since it uses less digits than its factorization.

42375947328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 670 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 42375947328 in words is "forty-two billion, three hundred seventy-five million, nine hundred forty-seven thousand, three hundred twenty-eight".