4138956 has 36 divisors (see below), whose sum is σ = 11079432. Its totient is φ = 1298304.

The previous prime is 4138951. The next prime is 4138957. The reversal of 4138956 is 6598314.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4138956.

It is not an unprimeable number, because it can be changed into a prime (4138951) 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, 2770 + ... + 3993.

It is an arithmetic number, because the mean of its divisors is an integer number (307762).

Almost surely, 2^4138956 is an apocalyptic number.

It is an amenable number.

4138956 is an abundant number, since it is smaller than the sum of its proper divisors (6940476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4138956 is a wasteful number, since it uses less digits than its factorization.

4138956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6790 (or 6785 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 4138956 is about 2034.4424297581. The cubic root of 4138956 is about 160.5573789663.

The spelling of 4138956 in words is "four million, one hundred thirty-eight thousand, nine hundred fifty-six".