4221100400 has 120 divisors (see below), whose sum is σ = 11092446288. Its totient is φ = 1530880000.

The previous prime is 4221100361. The next prime is 4221100447. The reversal of 4221100400 is 40011224.

It is a congruent number.

It is an unprimeable number.

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, 2027360 + ... + 2029440.

Almost surely, 2^4221100400 is an apocalyptic number.

4221100400 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 4221100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5546223144).

4221100400 is an abundant number, since it is smaller than the sum of its proper divisors (6871345888).

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

4221100400 is a wasteful number, since it uses less digits than its factorization.

4221100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4221100400 is about 64969.9961520701. The cubic root of 4221100400 is about 1616.1260378610.

Adding to 4221100400 its reverse (40011224), we get a palindrome (4261111624).

The spelling of 4221100400 in words is "four billion, two hundred twenty-one million, one hundred thousand, four hundred".