4138814407 has 32 divisors (see below), whose sum is σ = 5508421632. Its totient is φ = 3016410624.

The previous prime is 4138814399. The next prime is 4138814411. The reversal of 4138814407 is 7044188314.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4138814407 - 2³ = 4138814399 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4138814407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138814107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44248 + ... + 101170.

It is an arithmetic number, because the mean of its divisors is an integer number (172138176).

Almost surely, 2^4138814407 is an apocalyptic number.

4138814407 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

4138814407 is a deficient number, since it is larger than the sum of its proper divisors (1369607225).

4138814407 is a wasteful number, since it uses less digits than its factorization.

4138814407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57007.

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 4138814407 is about 64333.6180157777. The cubic root of 4138814407 is about 1605.5554806492. Note that the first 3 decimals are identical.

The spelling of 4138814407 in words is "four billion, one hundred thirty-eight million, eight hundred fourteen thousand, four hundred seven".