4125616600 has 96 divisors (see below), whose sum is σ = 10981797120. Its totient is φ = 1411989120.

The previous prime is 4125616571. The next prime is 4125616601. The reversal of 4125616600 is 66165214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4125616601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 897909 + ... + 902491.

It is an arithmetic number, because the mean of its divisors is an integer number (114393720).

Almost surely, 2^4125616600 is an apocalyptic number.

4125616600 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 4125616600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490898560).

4125616600 is an abundant number, since it is smaller than the sum of its proper divisors (6856180520).

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

4125616600 is a wasteful number, since it uses less digits than its factorization.

4125616600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5249 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 4125616600 is about 64230.9629384458. The cubic root of 4125616600 is about 1603.8470707406.

The spelling of 4125616600 in words is "four billion, one hundred twenty-five million, six hundred sixteen thousand, six hundred".