4132825200 has 240 divisors, whose sum is σ = 16811503360. Its totient is φ = 944628480.

The previous prime is 4132825187. The next prime is 4132825201. The reversal of 4132825200 is 25282314.

4132825200 is a `hidden beast` number, since 4 + 132 + 8 + 2 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132825201) 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 47 ways as a sum of consecutive naturals, for example, 48267 + ... + 102933.

Almost surely, 2^4132825200 is an apocalyptic number.

4132825200 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 4132825200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8405751680).

4132825200 is an abundant number, since it is smaller than the sum of its proper divisors (12678678160).

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

4132825200 is a wasteful number, since it uses less digits than its factorization.

4132825200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54701 (or 54684 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4132825200 is about 64287.0531289155. The cubic root of 4132825200 is about 1604.7806495587.

The spelling of 4132825200 in words is "four billion, one hundred thirty-two million, eight hundred twenty-five thousand, two hundred".