4541141120 has 64 divisors (see below), whose sum is σ = 10934481600. Its totient is φ = 1803353088.

The previous prime is 4541141089. The next prime is 4541141123. The reversal of 4541141120 is 211411454.

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

It is not an unprimeable number, because it can be changed into a prime (4541141123) 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 7 ways as a sum of consecutive naturals, for example, 63437 + ... + 114483.

It is an arithmetic number, because the mean of its divisors is an integer number (170851275).

Almost surely, 2^4541141120 is an apocalyptic number.

4541141120 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 4541141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5467240800).

4541141120 is an abundant number, since it is smaller than the sum of its proper divisors (6393340480).

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

4541141120 is a wasteful number, since it uses less digits than its factorization.

4541141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51205 (or 51193 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 4541141120 is about 67387.9894343198. The cubic root of 4541141120 is about 1655.9796647755.

Adding to 4541141120 its reverse (211411454), we get a palindrome (4752552574).

The spelling of 4541141120 in words is "four billion, five hundred forty-one million, one hundred forty-one thousand, one hundred twenty".