4116141120 has 672 divisors, whose sum is σ = 16812085248. Its totient is φ = 845365248.

The previous prime is 4116141119. The next prime is 4116141143. The reversal of 4116141120 is 211416114.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32410497 + ... + 32410623.

It is an arithmetic number, because the mean of its divisors is an integer number (25017984).

Almost surely, 2^4116141120 is an apocalyptic number.

4116141120 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 4116141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8406042624).

4116141120 is an abundant number, since it is smaller than the sum of its proper divisors (12695944128).

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

4116141120 is a wasteful number, since it uses less digits than its factorization.

4116141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 4116141120 is about 64157.1595381217. The cubic root of 4116141120 is about 1602.6182547932.

Adding to 4116141120 its reverse (211416114), we get a palindrome (4327557234).

The spelling of 4116141120 in words is "four billion, one hundred sixteen million, one hundred forty-one thousand, one hundred twenty".