4220092800 has 864 divisors, whose sum is σ = 19025501040. Its totient is φ = 871833600.

The previous prime is 4220092787. The next prime is 4220092841. The reversal of 4220092800 is 82900224.

It is a super-2 number, since 2×4220092800² = 35618366481223680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 24393514 + ... + 24393686.

Almost surely, 2^4220092800 is an apocalyptic number.

4220092800 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 4220092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9512750520).

4220092800 is an abundant number, since it is smaller than the sum of its proper divisors (14805408240).

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

4220092800 is a wasteful number, since it uses less digits than its factorization.

4220092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4220092800 is about 64962.2413406434. The cubic root of 4220092800 is about 1615.9974348879.

The spelling of 4220092800 in words is "four billion, two hundred twenty million, ninety-two thousand, eight hundred".