4138007697 has 12 divisors (see below), whose sum is σ = 6122906244. Its totient is φ = 2691386880.

The previous prime is 4138007693. The next prime is 4138007707. The reversal of 4138007697 is 7967008314.

4138007697 is a `hidden beast` number, since 413 + 80 + 0 + 76 + 97 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1921857921 + 2216149776 = 43839^2 + 47076^2 .

It is not a de Polignac number, because 4138007697 - 2² = 4138007693 is a prime.

It is a super-3 number, since 3×4138007697³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4138007693) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5606688 + ... + 5607425.

It is an arithmetic number, because the mean of its divisors is an integer number (510242187).

Almost surely, 2^4138007697 is an apocalyptic number.

It is an amenable number.

4138007697 is a deficient number, since it is larger than the sum of its proper divisors (1984898547).

4138007697 is a wasteful number, since it uses less digits than its factorization.

4138007697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11214160 (or 11214157 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 4138007697 is about 64327.3479711390. The cubic root of 4138007697 is about 1605.4511591620.

The spelling of 4138007697 in words is "four billion, one hundred thirty-eight million, seven thousand, six hundred ninety-seven".