4225132800 has 648 divisors, whose sum is σ = 18058740000. Its totient is φ = 963809280.

The previous prime is 4225132789. The next prime is 4225132837. The reversal of 4225132800 is 82315224.

4225132800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8466951 + ... + 8467449.

Almost surely, 2^4225132800 is an apocalyptic number.

4225132800 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 4225132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9029370000).

4225132800 is an abundant number, since it is smaller than the sum of its proper divisors (13833607200).

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

4225132800 is a wasteful number, since it uses less digits than its factorization.

4225132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 516 counting only the distinct ones).

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

The square root of 4225132800 is about 65001.0215304344. The cubic root of 4225132800 is about 1616.6405002791.

The spelling of 4225132800 in words is "four billion, two hundred twenty-five million, one hundred thirty-two thousand, eight hundred".