4145266720 has 144 divisors (see below), whose sum is σ = 11447993088. Its totient is φ = 1414264320.

The previous prime is 4145266717. The next prime is 4145266729. The reversal of 4145266720 is 276625414.

It is a self number, because there is not a number n which added to its sum of digits gives 4145266720.

It is not an unprimeable number, because it can be changed into a prime (4145266729) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1747135 + ... + 1749505.

It is an arithmetic number, because the mean of its divisors is an integer number (79499952).

Almost surely, 2^4145266720 is an apocalyptic number.

4145266720 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 4145266720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723996544).

4145266720 is an abundant number, since it is smaller than the sum of its proper divisors (7302726368).

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

4145266720 is a wasteful number, since it uses less digits than its factorization.

4145266720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 4145266720 is about 64383.7457748460. The cubic root of 4145266720 is about 1606.3893883589.

The spelling of 4145266720 in words is "four billion, one hundred forty-five million, two hundred sixty-six thousand, seven hundred twenty".