4130421200 has 60 divisors (see below), whose sum is σ = 10011263628. Its totient is φ = 1637529600.

The previous prime is 4130421179. The next prime is 4130421209. The reversal of 4130421200 is 21240314.

4130421200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 350138944 + 3780282256 = 18712^2 + 61484^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130421209) 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, 491 + ... + 90890.

Almost surely, 2^4130421200 is an apocalyptic number.

4130421200 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 4130421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5005631814).

4130421200 is an abundant number, since it is smaller than the sum of its proper divisors (5880842428).

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

4130421200 is a wasteful number, since it uses less digits than its factorization.

4130421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91512 (or 91501 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4130421200 is about 64268.3530207520. The cubic root of 4130421200 is about 1604.4694305772.

Adding to 4130421200 its reverse (21240314), we get a palindrome (4151661514).

The spelling of 4130421200 in words is "four billion, one hundred thirty million, four hundred twenty-one thousand, two hundred".