40016041 has 16 divisors (see below), whose sum is σ = 44488080. Its totient is φ = 35758080.

The previous prime is 40015999. The next prime is 40016051. The reversal of 40016041 is 14061004.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 18662400 + 21353641 = 4320^2 + 4621^2 .

It is a cyclic number.

It is not a de Polignac number, because 40016041 - 2¹⁷ = 39884969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40016051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102675 + ... + 103063.

It is an arithmetic number, because the mean of its divisors is an integer number (2780505).

Almost surely, 2^40016041 is an apocalyptic number.

40016041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

40016041 is a deficient number, since it is larger than the sum of its proper divisors (4472039).

40016041 is a wasteful number, since it uses less digits than its factorization.

40016041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 40016041 is about 6325.8233456207. The cubic root of 40016041 is about 342.0408994325.

Adding to 40016041 its reverse (14061004), we get a palindrome (54077045).

The spelling of 40016041 in words is "forty million, sixteen thousand, forty-one".