4145120064 has 252 divisors, whose sum is σ = 12981621484. Its totient is φ = 1263403008.

The previous prime is 4145120059. The next prime is 4145120071. The reversal of 4145120064 is 4600215414.

4145120064 is a `hidden beast` number, since 4 + 1 + 451 + 200 + 6 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 735494400 + 3409625664 = 27120^2 + 58392^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6158832 + ... + 6159504.

Almost surely, 2^4145120064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4145120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6490810742).

4145120064 is an abundant number, since it is smaller than the sum of its proper divisors (8836501420).

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

4145120064 is a wasteful number, since it uses less digits than its factorization.

4145120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4145120064 is about 64382.6068437742. The cubic root of 4145120064 is about 1606.3704439068.

Adding to 4145120064 its reverse (4600215414), we get a palindrome (8745335478).

The spelling of 4145120064 in words is "four billion, one hundred forty-five million, one hundred twenty thousand, sixty-four".