4220004400 has 120 divisors (see below), whose sum is σ = 10416840224. Its totient is φ = 1642291200.

The previous prime is 4220004389. The next prime is 4220004407. The reversal of 4220004400 is 44000224.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4220004407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2365909 + ... + 2367691.

Almost surely, 2^4220004400 is an apocalyptic number.

4220004400 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 4220004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208420112).

4220004400 is an abundant number, since it is smaller than the sum of its proper divisors (6196835824).

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

4220004400 is a wasteful number, since it uses less digits than its factorization.

4220004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4220004400 is about 64961.5609418370. The cubic root of 4220004400 is about 1615.9861511573.

Adding to 4220004400 its reverse (44000224), we get a palindrome (4264004624).

The spelling of 4220004400 in words is "four billion, two hundred twenty million, four thousand, four hundred".