40125735 has 48 divisors (see below), whose sum is σ = 75688704. Its totient is φ = 19547136.

The previous prime is 40125727. The next prime is 40125773. The reversal of 40125735 is 53752104.

It is a happy number.

40125735 is a `hidden beast` number, since 401 + 257 + 3 + 5 = 666.

It is not a de Polignac number, because 40125735 - 2³ = 40125727 is a prime.

It is a super-2 number, since 2×40125735² = 3220149218580450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40125699 and 40125708.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 65802 + ... + 66408.

It is an arithmetic number, because the mean of its divisors is an integer number (1576848).

Almost surely, 2^40125735 is an apocalyptic number.

40125735 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40125735 is a deficient number, since it is larger than the sum of its proper divisors (35562969).

40125735 is a wasteful number, since it uses less digits than its factorization.

40125735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 40125735 is about 6334.4877456666. The cubic root of 40125735 is about 342.3531542337.

Adding to 40125735 its reverse (53752104), we get a palindrome (93877839).

The spelling of 40125735 in words is "forty million, one hundred twenty-five thousand, seven hundred thirty-five".