4022341200 has 240 divisors, whose sum is σ = 14939936640. Its totient is φ = 1025925120.

The previous prime is 4022341189. The next prime is 4022341259. The reversal of 4022341200 is 21432204.

4022341200 is a `hidden beast` number, since 402 + 23 + 41 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240304 + ... + 256496.

It is an arithmetic number, because the mean of its divisors is an integer number (62249736).

Almost surely, 2^4022341200 is an apocalyptic number.

4022341200 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 4022341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469968320).

4022341200 is an abundant number, since it is smaller than the sum of its proper divisors (10917595440).

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

4022341200 is a wasteful number, since it uses less digits than its factorization.

4022341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16243 (or 16226 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4022341200 is about 63421.9299611735. The cubic root of 4022341200 is about 1590.3509371331.

Adding to 4022341200 its reverse (21432204), we get a palindrome (4043773404).

The spelling of 4022341200 in words is "four billion, twenty-two million, three hundred forty-one thousand, two hundred".