4145363200 has 324 divisors, whose sum is σ = 11604546324. Its totient is φ = 1464320000.

The previous prime is 4145363177. The next prime is 4145363203. The reversal of 4145363200 is 23635414.

It can be written as a sum of positive squares in 6 ways, for example, as 285474816 + 3859888384 = 16896^2 + 62128^2 .

It is not an unprimeable number, because it can be changed into a prime (4145363203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41043150 + ... + 41043250.

It is an arithmetic number, because the mean of its divisors is an integer number (35816501).

Almost surely, 2^4145363200 is an apocalyptic number.

4145363200 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 4145363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5802273162).

4145363200 is an abundant number, since it is smaller than the sum of its proper divisors (7459183124).

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

4145363200 is a wasteful number, since it uses less digits than its factorization.

4145363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 4145363200 is about 64384.4950279180. The cubic root of 4145363200 is about 1606.4018510267.

Adding to 4145363200 its reverse (23635414), we get a palindrome (4168998614).

It can be divided in two parts, 41453 and 63200, that added together give a triangular number (104653 = T₄₅₇).

The spelling of 4145363200 in words is "four billion, one hundred forty-five million, three hundred sixty-three thousand, two hundred".