4232541600 has 1080 divisors, whose sum is σ = 18965536128. Its totient is φ = 914457600.

The previous prime is 4232541563. The next prime is 4232541601. The reversal of 4232541600 is 61452324.

4232541600 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 54 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4232541601) 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 179 ways as a sum of consecutive naturals, for example, 98431179 + ... + 98431221.

Almost surely, 2^4232541600 is an apocalyptic number.

4232541600 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 4232541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9482768064).

4232541600 is an abundant number, since it is smaller than the sum of its proper divisors (14732994528).

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

4232541600 is a wasteful number, since it uses less digits than its factorization.

4232541600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4232541600 is about 65057.9864428650. The cubic root of 4232541600 is about 1617.5848786548.

Adding to 4232541600 its reverse (61452324), we get a palindrome (4293993924).

The spelling of 4232541600 in words is "four billion, two hundred thirty-two million, five hundred forty-one thousand, six hundred".