4227161800 has 192 divisors, whose sum is σ = 10847520000. Its totient is φ = 1525708800.

The previous prime is 4227161759. The next prime is 4227161803. The reversal of 4227161800 is 81617224.

It is not an unprimeable number, because it can be changed into a prime (4227161803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9807585 + ... + 9808015.

It is an arithmetic number, because the mean of its divisors is an integer number (56497500).

Almost surely, 2^4227161800 is an apocalyptic number.

4227161800 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 4227161800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423760000).

4227161800 is an abundant number, since it is smaller than the sum of its proper divisors (6620358200).

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

4227161800 is a wasteful number, since it uses less digits than its factorization.

4227161800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 4227161800 is about 65016.6271041493. The cubic root of 4227161800 is about 1616.8992407576.

The spelling of 4227161800 in words is "four billion, two hundred twenty-seven million, one hundred sixty-one thousand, eight hundred".