4145013200 has 60 divisors (see below), whose sum is σ = 9981914688. Its totient is φ = 1654089600.

The previous prime is 4145013167. The next prime is 4145013209. The reversal of 4145013200 is 23105414.

It is a super-2 number, since 2×4145013200² = 34362268856348480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145013209) 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, 160379 + ... + 184421.

Almost surely, 2^4145013200 is an apocalyptic number.

4145013200 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 4145013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990957344).

4145013200 is an abundant number, since it is smaller than the sum of its proper divisors (5836901488).

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

4145013200 is a wasteful number, since it uses less digits than its factorization.

4145013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24492 (or 24481 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4145013200 is about 64381.7769248411. The cubic root of 4145013200 is about 1606.3566393492.

Adding to 4145013200 its reverse (23105414), we get a palindrome (4168118614).

The spelling of 4145013200 in words is "four billion, one hundred forty-five million, thirteen thousand, two hundred".