4145541120 has 936 divisors, whose sum is σ = 18354261744. Its totient is φ = 891813888.

The previous prime is 4145541107. The next prime is 4145541149. The reversal of 4145541120 is 211455414.

It is a super-2 number, since 2×4145541120² = 34371022355221708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243855352 + ... + 243855368.

It is an arithmetic number, because the mean of its divisors is an integer number (19609254).

Almost surely, 2^4145541120 is an apocalyptic number.

4145541120 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 4145541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9177130872).

4145541120 is an abundant number, since it is smaller than the sum of its proper divisors (14208720624).

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

4145541120 is an equidigital number, since it uses as much as digits as its factorization.

4145541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 4145541120 is about 64385.8767122107. The cubic root of 4145541120 is about 1606.4248330844.

Adding to 4145541120 its reverse (211455414), we get a palindrome (4356996534).

The spelling of 4145541120 in words is "four billion, one hundred forty-five million, five hundred forty-one thousand, one hundred twenty".