4138407 has 48 divisors (see below), whose sum is σ = 7641088. Its totient is φ = 2099520.

The previous prime is 4138391. The next prime is 4138451. The reversal of 4138407 is 7048314.

It is not a de Polignac number, because 4138407 - 2⁴ = 4138391 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25308 + ... + 25470.

Almost surely, 2^4138407 is an apocalyptic number.

4138407 is a deficient number, since it is larger than the sum of its proper divisors (3502681).

4138407 is a wasteful number, since it uses less digits than its factorization.

4138407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4138407 is about 2034.3074988801. The cubic root of 4138407 is about 160.5502797607.

The spelling of 4138407 in words is "four million, one hundred thirty-eight thousand, four hundred seven".