4145233200 has 120 divisors (see below), whose sum is σ = 13707027456. Its totient is φ = 1069728000.

The previous prime is 4145233181. The next prime is 4145233219. The reversal of 4145233200 is 23325414.

It is an interprime number because it is at equal distance from previous prime (4145233181) and next prime (4145233219).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18516 + ... + 92915.

Almost surely, 2^4145233200 is an apocalyptic number.

4145233200 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 4145233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6853513728).

4145233200 is an abundant number, since it is smaller than the sum of its proper divisors (9561794256).

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

4145233200 is a wasteful number, since it uses less digits than its factorization.

4145233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111483 (or 111472 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 4145233200 is about 64383.4854601706. The cubic root of 4145233200 is about 1606.3850584150.

Adding to 4145233200 its reverse (23325414), we get a palindrome (4168558614).

The spelling of 4145233200 in words is "four billion, one hundred forty-five million, two hundred thirty-three thousand, two hundred".