4020442200 has 576 divisors, whose sum is σ = 15182912160. Its totient is φ = 948879360.

The previous prime is 4020442177. The next prime is 4020442201. The reversal of 4020442200 is 22440204.

4020442200 is a `hidden beast` number, since 4 + 0 + 20 + 442 + 200 = 666.

4020442200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020442201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60006567 + ... + 60006633.

Almost surely, 2^4020442200 is an apocalyptic number.

4020442200 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 4020442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7591456080).

4020442200 is an abundant number, since it is smaller than the sum of its proper divisors (11162469960).

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

4020442200 is a wasteful number, since it uses less digits than its factorization.

4020442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4020442200 is about 63406.9570315435. The cubic root of 4020442200 is about 1590.1006225628.

Adding to 4020442200 its reverse (22440204), we get a palindrome (4042882404).

The spelling of 4020442200 in words is "four billion, twenty million, four hundred forty-two thousand, two hundred".