4121413200 has 90 divisors (see below), whose sum is σ = 14302461134. Its totient is φ = 1099042560.

The previous prime is 4121413133. The next prime is 4121413201. The reversal of 4121413200 is 23141214.

It can be written as a sum of positive squares in 3 ways, for example, as 5934096 + 4115479104 = 2436^2 + 64152^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121413201) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 568819 + ... + 576018.

Almost surely, 2^4121413200 is an apocalyptic number.

4121413200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4121413200 is an abundant number, since it is smaller than the sum of its proper divisors (10181047934).

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

4121413200 is a wasteful number, since it uses less digits than its factorization.

4121413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144861 (or 1144847 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4121413200 is about 64198.2336205600. The cubic root of 4121413200 is about 1603.3021904395.

Adding to 4121413200 its reverse (23141214), we get a palindrome (4144554414).

The spelling of 4121413200 in words is "four billion, one hundred twenty-one million, four hundred thirteen thousand, two hundred".