4002138 has 48 divisors (see below), whose sum is σ = 10348416. Its totient is φ = 1092960.

The previous prime is 4002137. The next prime is 4002143. The reversal of 4002138 is 8312004.

It is a happy number.

4002138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4002138.

It is not an unprimeable number, because it can be changed into a prime (4002137) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2208 + ... + 3588.

It is an arithmetic number, because the mean of its divisors is an integer number (215592).

Almost surely, 2^4002138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174208).

4002138 is an abundant number, since it is smaller than the sum of its proper divisors (6346278).

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

4002138 is a wasteful number, since it uses less digits than its factorization.

4002138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4002138 is about 2000.5344285965. The cubic root of 4002138 is about 158.7683823548.

The spelling of 4002138 in words is "four million, two thousand, one hundred thirty-eight".