40475688 has 64 divisors (see below), whose sum is σ = 111283200. Its totient is φ = 12166080.

The previous prime is 40475683. The next prime is 40475693. The reversal of 40475688 is 88657404.

It is an interprime number because it is at equal distance from previous prime (40475683) and next prime (40475693).

It is not an unprimeable number, because it can be changed into a prime (40475683) 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, 36145 + ... + 37247.

It is an arithmetic number, because the mean of its divisors is an integer number (1738800).

Almost surely, 2^40475688 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 40475688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55641600).

40475688 is an abundant number, since it is smaller than the sum of its proper divisors (70807512).

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

40475688 is a wasteful number, since it uses less digits than its factorization.

40475688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 40475688 is about 6362.0506128135. The cubic root of 40475688 is about 343.3455422393.

The spelling of 40475688 in words is "forty million, four hundred seventy-five thousand, six hundred eighty-eight".