40168125 has 60 divisors (see below), whose sum is σ = 74847916. Its totient is φ = 20736000.

The previous prime is 40168087. The next prime is 40168153. The reversal of 40168125 is 52186104.

It can be written as a sum of positive squares in 10 ways, for example, as 27594009 + 12574116 = 5253^2 + 3546^2 .

It is not a de Polignac number, because 40168125 - 2¹² = 40164029 is a prime.

It is a super-2 number, since 2×40168125² = 3226956532031250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 208029 + ... + 208221.

Almost surely, 2^40168125 is an apocalyptic number.

40168125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40168125 is a deficient number, since it is larger than the sum of its proper divisors (34679791).

40168125 is a wasteful number, since it uses less digits than its factorization.

40168125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 40168125 is about 6337.8328314969. The cubic root of 40168125 is about 342.4736691001.

The spelling of 40168125 in words is "forty million, one hundred sixty-eight thousand, one hundred twenty-five".