4022818800 has 960 divisors, whose sum is σ = 18412821504. Its totient is φ = 722534400.

The previous prime is 4022818763. The next prime is 4022818829. The reversal of 4022818800 is 88182204.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20420302 + ... + 20420498.

Almost surely, 2^4022818800 is an apocalyptic number.

4022818800 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 4022818800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9206410752).

4022818800 is an abundant number, since it is smaller than the sum of its proper divisors (14390002704).

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

4022818800 is a wasteful number, since it uses less digits than its factorization.

4022818800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 4022818800 is about 63425.6951085284. The cubic root of 4022818800 is about 1590.4138790459.

The spelling of 4022818800 in words is "four billion, twenty-two million, eight hundred eighteen thousand, eight hundred".