4145001120 has 384 divisors, whose sum is σ = 16307827200. Its totient is φ = 975642624.

The previous prime is 4145001089. The next prime is 4145001137. The reversal of 4145001120 is 211005414.

4145001120 is a `hidden beast` number, since 41 + 4 + 500 + 1 + 120 = 666.

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 = 4145001093 and 4145001102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1290076 + ... + 1293284.

It is an arithmetic number, because the mean of its divisors is an integer number (42468300).

Almost surely, 2^4145001120 is an apocalyptic number.

4145001120 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 4145001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8153913600).

4145001120 is an abundant number, since it is smaller than the sum of its proper divisors (12162826080).

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

4145001120 is a wasteful number, since it uses less digits than its factorization.

4145001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 4145001120 is about 64381.6831094062. The cubic root of 4145001120 is about 1606.3550788550.

Adding to 4145001120 its reverse (211005414), we get a palindrome (4356006534).

The spelling of 4145001120 in words is "four billion, one hundred forty-five million, one thousand, one hundred twenty".