42731600112 has 240 divisors, whose sum is σ = 131599553280. Its totient is φ = 13271841792.

The previous prime is 42731600083. The next prime is 42731600113. The reversal of 42731600112 is 21100613724.

42731600112 is a `hidden beast` number, since 4 + 27 + 31 + 600 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42731600113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12857683 + ... + 12861005.

It is an arithmetic number, because the mean of its divisors is an integer number (548331472).

Almost surely, 2^42731600112 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 42731600112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65799776640).

42731600112 is an abundant number, since it is smaller than the sum of its proper divisors (88867953168).

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

42731600112 is a wasteful number, since it uses less digits than its factorization.

42731600112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3477 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 42731600112 in words is "forty-two billion, seven hundred thirty-one million, six hundred thousand, one hundred twelve".