40506336 has 144 divisors (see below), whose sum is σ = 128419200. Its totient is φ = 12026880.

The previous prime is 40506331. The next prime is 40506341. The reversal of 40506336 is 63360504.

It is an interprime number because it is at equal distance from previous prime (40506331) and next prime (40506341).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×40506336² = 3281526512289792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40506331) 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 23 ways as a sum of consecutive naturals, for example, 115890 + ... + 116238.

It is an arithmetic number, because the mean of its divisors is an integer number (891800).

Almost surely, 2^40506336 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 40506336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64209600).

40506336 is an abundant number, since it is smaller than the sum of its proper divisors (87912864).

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

40506336 is a wasteful number, since it uses less digits than its factorization.

40506336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 40506336 is about 6364.4588143848. The cubic root of 40506336 is about 343.4321802506.

The spelling of 40506336 in words is "forty million, five hundred six thousand, three hundred thirty-six".