4425220800 has 1008 divisors, whose sum is σ = 21186477312. Its totient is φ = 846028800.

The previous prime is 4425220781. The next prime is 4425220817. The reversal of 4425220800 is 80225244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14414247 + ... + 14414553.

Almost surely, 2^4425220800 is an apocalyptic number.

4425220800 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 4425220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10593238656).

4425220800 is an abundant number, since it is smaller than the sum of its proper divisors (16761256512).

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

4425220800 is a wasteful number, since it uses less digits than its factorization.

4425220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4425220800 is about 66522.3330919775. Note that the first 3 decimals coincide. The cubic root of 4425220800 is about 1641.7674777549.

The spelling of 4425220800 in words is "four billion, four hundred twenty-five million, two hundred twenty thousand, eight hundred".