4191120 has 60 divisors (see below), whose sum is σ = 14077596. Its totient is φ = 1117440.

The previous prime is 4191119. The next prime is 4191137. The reversal of 4191120 is 211914.

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 1527696 = 1632^2 + 1236^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 4191093 and 4191102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2191 + ... + 3630.

Almost surely, 2^4191120 is an apocalyptic number.

4191120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4191120 is an abundant number, since it is smaller than the sum of its proper divisors (9886476).

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

4191120 is a wasteful number, since it uses less digits than its factorization.

4191120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5840 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 4191120 is about 2047.2225086688. Note that the first 3 decimals coincide. The cubic root of 4191120 is about 161.2290760663.

The spelling of 4191120 in words is "four million, one hundred ninety-one thousand, one hundred twenty".