4145865200 has 60 divisors (see below), whose sum is σ = 9982491288. Its totient is φ = 1654675200.

The previous prime is 4145865187. The next prime is 4145865203. The reversal of 4145865200 is 25685414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145865203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173159 + ... + 195641.

Almost surely, 2^4145865200 is an apocalyptic number.

4145865200 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 4145865200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991245644).

4145865200 is an abundant number, since it is smaller than the sum of its proper divisors (5836626088).

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

4145865200 is a wasteful number, since it uses less digits than its factorization.

4145865200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22962 (or 22951 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 4145865200 is about 64388.3933640217. The cubic root of 4145865200 is about 1606.4666930474.

The spelling of 4145865200 in words is "four billion, one hundred forty-five million, eight hundred sixty-five thousand, two hundred".