42070195728 has 360 divisors, whose sum is σ = 135594321408. Its totient is φ = 12152448000.

The previous prime is 42070195711. The next prime is 42070195747. The reversal of 42070195728 is 82759107024.

It is a happy number.

42070195728 is a `hidden beast` number, since 4 + 2 + 0 + 70 + 1 + 9 + 572 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38349676 + ... + 38350772.

Almost surely, 2^42070195728 is an apocalyptic number.

42070195728 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 42070195728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67797160704).

42070195728 is an abundant number, since it is smaller than the sum of its proper divisors (93524125680).

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

42070195728 is a wasteful number, since it uses less digits than its factorization.

42070195728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 42070195728 in words is "forty-two billion, seventy million, one hundred ninety-five thousand, seven hundred twenty-eight".