4138020 has 96 divisors (see below), whose sum is σ = 13171200. Its totient is φ = 1078272.

The previous prime is 4137997. The next prime is 4138033. The reversal of 4138020 is 208314.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4137984 and 4138002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42612 + ... + 42708.

It is an arithmetic number, because the mean of its divisors is an integer number (137200).

Almost surely, 2^4138020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6585600).

4138020 is an abundant number, since it is smaller than the sum of its proper divisors (9033180).

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

4138020 is a wasteful number, since it uses less digits than its factorization.

4138020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

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

The square root of 4138020 is about 2034.2123782929. The cubic root of 4138020 is about 160.5452750253.

The spelling of 4138020 in words is "four million, one hundred thirty-eight thousand, twenty".