4241232400 has 120 divisors (see below), whose sum is σ = 10465220808. Its totient is φ = 1651200000.

The previous prime is 4241232371. The next prime is 4241232439. The reversal of 4241232400 is 42321424.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 702886144 + 3538346256 = 26512^2 + 59484^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2463540 + ... + 2465260.

Almost surely, 2^4241232400 is an apocalyptic number.

4241232400 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 4241232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232610404).

4241232400 is an abundant number, since it is smaller than the sum of its proper divisors (6223988408).

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

4241232400 is a wasteful number, since it uses less digits than its factorization.

4241232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4241232400 is about 65124.7449131281. The cubic root of 4241232400 is about 1618.6912663355.

Adding to 4241232400 its reverse (42321424), we get a palindrome (4283553824).

The spelling of 4241232400 in words is "four billion, two hundred forty-one million, two hundred thirty-two thousand, four hundred".