4221072400 has 60 divisors (see below), whose sum is σ = 10313067600. Its totient is φ = 1659802240.

The previous prime is 4221072371. The next prime is 4221072407. The reversal of 4221072400 is 42701224.

It is a happy number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (4221072407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65830 + ... + 113029.

It is an arithmetic number, because the mean of its divisors is an integer number (171884460).

Almost surely, 2^4221072400 is an apocalyptic number.

4221072400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4221072400 is an abundant number, since it is smaller than the sum of its proper divisors (6091995200).

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

4221072400 is a wasteful number, since it uses less digits than its factorization.

4221072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178936 (or 178925 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 4221072400 is about 64969.7806676304. The cubic root of 4221072400 is about 1616.1224644145.

Adding to 4221072400 its reverse (42701224), we get a palindrome (4263773624).

The spelling of 4221072400 in words is "four billion, two hundred twenty-one million, seventy-two thousand, four hundred".