4117120 has 64 divisors (see below), whose sum is σ = 11260800. Its totient is φ = 1410048.

The previous prime is 4117109. The next prime is 4117123. The reversal of 4117120 is 217114.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4117094 and 4117103.

It is not an unprimeable number, because it can be changed into a prime (4117123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4021 + ... + 4939.

It is an arithmetic number, because the mean of its divisors is an integer number (175950).

Almost surely, 2^4117120 is an apocalyptic number.

4117120 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 4117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630400).

4117120 is an abundant number, since it is smaller than the sum of its proper divisors (7143680).

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

4117120 is an equidigital number, since it uses as much as digits as its factorization.

4117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 4117120 is about 2029.0687519155. The cubic root of 4117120 is about 160.2745286931.

It can be divided in two parts, 41 and 17120, that added together give a square (17161 = 131²).

The spelling of 4117120 in words is "four million, one hundred seventeen thousand, one hundred twenty".