40282112 has 96 divisors (see below), whose sum is σ = 92874600. Its totient is φ = 17301504.

The previous prime is 40282111. The next prime is 40282139. The reversal of 40282112 is 21128204.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27206656 + 13075456 = 5216^2 + 3616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40282111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452564 + ... + 452652.

Almost surely, 2^40282112 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 40282112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46437300).

40282112 is an abundant number, since it is smaller than the sum of its proper divisors (52592488).

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

40282112 is a wasteful number, since it uses less digits than its factorization.

40282112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 40282112 is about 6346.8190457898. The cubic root of 40282112 is about 342.7973144283.

The spelling of 40282112 in words is "forty million, two hundred eighty-two thousand, one hundred twelve".