42735043152 has 80 divisors (see below), whose sum is σ = 122818032000. Its totient is φ = 14227289856.

The previous prime is 42735043151. The next prime is 42735043163. The reversal of 42735043152 is 25134053724.

42735043152 is a `hidden beast` number, since 4 + 2 + 73 + 504 + 31 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42735043151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288349 + ... + 410627.

It is an arithmetic number, because the mean of its divisors is an integer number (1535225400).

Almost surely, 2^42735043152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42735043152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61409016000).

42735043152 is an abundant number, since it is smaller than the sum of its proper divisors (80082988848).

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

42735043152 is a wasteful number, since it uses less digits than its factorization.

42735043152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123105 (or 123093 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 42735043152 its reverse (25134053724), we get a palindrome (67869096876).

The spelling of 42735043152 in words is "forty-two billion, seven hundred thirty-five million, forty-three thousand, one hundred fifty-two".