4234541200 has 60 divisors (see below), whose sum is σ = 10238436340. Its totient is φ = 1683002880.

The previous prime is 4234541197. The next prime is 4234541209. The reversal of 4234541200 is 21454324.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1373147136 + 2861394064 = 37056^2 + 53492^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4234541209) 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 11 ways as a sum of consecutive naturals, for example, 29086 + ... + 96514.

Almost surely, 2^4234541200 is an apocalyptic number.

4234541200 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 4234541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119218170).

4234541200 is an abundant number, since it is smaller than the sum of its proper divisors (6003895140).

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

4234541200 is a wasteful number, since it uses less digits than its factorization.

4234541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67604 (or 67593 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4234541200 is about 65073.3524570542. The cubic root of 4234541200 is about 1617.8395730202.

Adding to 4234541200 its reverse (21454324), we get a palindrome (4255995524).

The spelling of 4234541200 in words is "four billion, two hundred thirty-four million, five hundred forty-one thousand, two hundred".