4209120 has 144 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 1078272.

The previous prime is 4209113. The next prime is 4209131. The reversal of 4209120 is 219024.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 4209093 and 4209102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53241 + ... + 53319.

It is an arithmetic number, because the mean of its divisors is an integer number (103740).

Almost surely, 2^4209120 is an apocalyptic number.

4209120 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 4209120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

4209120 is an abundant number, since it is smaller than the sum of its proper divisors (10729440).

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

4209120 is a wasteful number, since it uses less digits than its factorization.

4209120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

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

The square root of 4209120 is about 2051.6139987824. The cubic root of 4209120 is about 161.4595616787.

The spelling of 4209120 in words is "four million, two hundred nine thousand, one hundred twenty".