40287042 has 72 divisors (see below), whose sum is σ = 96197868. Its totient is φ = 12142080.

The previous prime is 40287017. The next prime is 40287089. The reversal of 40287042 is 24078204.

40287042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38825361 + 1461681 = 6231^2 + 1209^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40286997 and 40287015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 293998 + ... + 294134.

Almost surely, 2^40287042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40287042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48098934).

40287042 is an abundant number, since it is smaller than the sum of its proper divisors (55910826).

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

40287042 is a wasteful number, since it uses less digits than its factorization.

40287042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 40287042 is about 6347.2074174396. The cubic root of 40287042 is about 342.8112984834.

The spelling of 40287042 in words is "forty million, two hundred eighty-seven thousand, forty-two".