4211322400 has 72 divisors (see below), whose sum is σ = 10425832704. Its totient is φ = 1660780800.

The previous prime is 4211322397. The next prime is 4211322419. The reversal of 4211322400 is 42231124.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19729 + ... + 93871.

It is an arithmetic number, because the mean of its divisors is an integer number (144803232).

Almost surely, 2^4211322400 is an apocalyptic number.

4211322400 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 4211322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212916352).

4211322400 is an abundant number, since it is smaller than the sum of its proper divisors (6214510304).

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

4211322400 is a wasteful number, since it uses less digits than its factorization.

4211322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74234 (or 74221 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4211322400 is about 64894.7024032008. The cubic root of 4211322400 is about 1614.8771772518.

Adding to 4211322400 its reverse (42231124), we get a palindrome (4253553524).

The spelling of 4211322400 in words is "four billion, two hundred eleven million, three hundred twenty-two thousand, four hundred".