4228569600 has 120 divisors (see below), whose sum is σ = 13968942240. Its totient is φ = 1127608320.

The previous prime is 4228569559. The next prime is 4228569607. The reversal of 4228569600 is 69658224.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (4228569607) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16660 + ... + 93459.

It is an arithmetic number, because the mean of its divisors is an integer number (116407852).

Almost surely, 2^4228569600 is an apocalyptic number.

4228569600 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 4228569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6984471120).

4228569600 is an abundant number, since it is smaller than the sum of its proper divisors (9740372640).

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

4228569600 is a wasteful number, since it uses less digits than its factorization.

4228569600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110150 (or 110129 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 4228569600 is about 65027.4526642402. The cubic root of 4228569600 is about 1617.0787164288.

The spelling of 4228569600 in words is "four billion, two hundred twenty-eight million, five hundred sixty-nine thousand, six hundred".