4029120 has 84 divisors (see below), whose sum is σ = 13868400. Its totient is φ = 1073664.

The previous prime is 4029107. The next prime is 4029127. The reversal of 4029120 is 219204.

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 = 4029093 and 4029102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4029127) 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, 2181 + ... + 3579.

It is an arithmetic number, because the mean of its divisors is an integer number (165100).

Almost surely, 2^4029120 is an apocalyptic number.

4029120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6934200).

4029120 is an abundant number, since it is smaller than the sum of its proper divisors (9839280).

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

4029120 is a wasteful number, since it uses less digits than its factorization.

4029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4029120 is about 2007.2667984102. The cubic root of 4029120 is about 159.1243835065.

The spelling of 4029120 in words is "four million, twenty-nine thousand, one hundred twenty".