40168314 has 48 divisors (see below), whose sum is σ = 92874600. Its totient is φ = 12503040.

The previous prime is 40168301. The next prime is 40168319. The reversal of 40168314 is 41386104.

It can be written as a sum of positive squares in 4 ways, for example, as 25857225 + 14311089 = 5085^2 + 3783^2 .

It is a super-4 number, since 4×40168314⁴ (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (40168319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45154 + ... + 46034.

Almost surely, 2^40168314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40168314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46437300).

40168314 is an abundant number, since it is smaller than the sum of its proper divisors (52706286).

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

40168314 is a wasteful number, since it uses less digits than its factorization.

40168314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 40168314 is about 6337.8477419389. The cubic root of 40168314 is about 342.4742062377.

The spelling of 40168314 in words is "forty million, one hundred sixty-eight thousand, three hundred fourteen".