4125166720 has 128 divisors (see below), whose sum is σ = 10132516800. Its totient is φ = 1605365760.

The previous prime is 4125166697. The next prime is 4125166723. The reversal of 4125166720 is 276615214.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (4125166723) 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 15 ways as a sum of consecutive naturals, for example, 4039810 + ... + 4040830.

Almost surely, 2^4125166720 is an apocalyptic number.

4125166720 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 4125166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066258400).

4125166720 is an abundant number, since it is smaller than the sum of its proper divisors (6007350080).

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

4125166720 is a wasteful number, since it uses less digits than its factorization.

4125166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 4125166720 is about 64227.4607936512. The cubic root of 4125166720 is about 1603.7887711765.

The spelling of 4125166720 in words is "four billion, one hundred twenty-five million, one hundred sixty-six thousand, seven hundred twenty".