4121160 has 64 divisors (see below), whose sum is σ = 12588480. Its totient is φ = 1079040.

The previous prime is 4121153. The next prime is 4121167. The reversal of 4121160 is 611214.

4121160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4121153) and next prime (4121167).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (4121167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7039 + ... + 7601.

It is an arithmetic number, because the mean of its divisors is an integer number (196695).

Almost surely, 2^4121160 is an apocalyptic number.

4121160 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 4121160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6294240).

4121160 is an abundant number, since it is smaller than the sum of its proper divisors (8467320).

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

4121160 is a wasteful number, since it uses less digits than its factorization.

4121160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 4121160 is about 2030.0640383988. The cubic root of 4121160 is about 160.3269356683.

Adding to 4121160 its reverse (611214), we get a palindrome (4732374).

The spelling of 4121160 in words is "four million, one hundred twenty-one thousand, one hundred sixty".