4141413200 has 30 divisors (see below), whose sum is σ = 9949746174. Its totient is φ = 1656565120.

The previous prime is 4141413193. The next prime is 4141413203. The reversal of 4141413200 is 23141414.

It can be written as a sum of positive squares in 3 ways, for example, as 780196624 + 3361216576 = 27932^2 + 57976^2 .

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 (4141413203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5176367 + ... + 5177166.

Almost surely, 2^4141413200 is an apocalyptic number.

4141413200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141413200 is an abundant number, since it is smaller than the sum of its proper divisors (5808332974).

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

4141413200 is a wasteful number, since it uses less digits than its factorization.

4141413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10353551 (or 10353540 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4141413200 is about 64353.8126298668. The cubic root of 4141413200 is about 1605.8914571651.

Adding to 4141413200 its reverse (23141414), we get a palindrome (4164554614).

The spelling of 4141413200 in words is "four billion, one hundred forty-one million, four hundred thirteen thousand, two hundred".