40106088 has 96 divisors (see below), whose sum is σ = 120182400. Its totient is φ = 11980800.

The previous prime is 40106083. The next prime is 40106123. The reversal of 40106088 is 88060104.

40106088 is a `hidden beast` number, since 40 + 10 + 608 + 8 = 666.

40106088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40106083) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 62248 + ... + 62888.

It is an arithmetic number, because the mean of its divisors is an integer number (1251900).

Almost surely, 2^40106088 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 40106088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60091200).

40106088 is an abundant number, since it is smaller than the sum of its proper divisors (80076312).

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

40106088 is a wasteful number, since it uses less digits than its factorization.

40106088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 40106088 is about 6332.9367595137. The cubic root of 40106088 is about 342.2972689810.

The spelling of 40106088 in words is "forty million, one hundred six thousand, eighty-eight".