4222200400 has 120 divisors (see below), whose sum is σ = 11248128288. Its totient is φ = 1510080000.

The previous prime is 4222200337. The next prime is 4222200407. The reversal of 4222200400 is 40022224.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222200407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260535 + ... + 276265.

Almost surely, 2^4222200400 is an apocalyptic number.

4222200400 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 4222200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624064144).

4222200400 is an abundant number, since it is smaller than the sum of its proper divisors (7025927888).

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

4222200400 is a wasteful number, since it uses less digits than its factorization.

4222200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15821 (or 15810 counting only the distinct ones).

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

The square root of 4222200400 is about 64978.4610467192. The cubic root of 4222200400 is about 1616.2664107553.

Adding to 4222200400 its reverse (40022224), we get a palindrome (4262222624).

The spelling of 4222200400 in words is "four billion, two hundred twenty-two million, two hundred thousand, four hundred".