4331221400 has 192 divisors, whose sum is σ = 11272716000. Its totient is φ = 1534464000.

The previous prime is 4331221357. The next prime is 4331221469. The reversal of 4331221400 is 41221334.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23929310 + ... + 23929490.

Almost surely, 2^4331221400 is an apocalyptic number.

4331221400 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 4331221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5636358000).

4331221400 is an abundant number, since it is smaller than the sum of its proper divisors (6941494600).

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

4331221400 is a wasteful number, since it uses less digits than its factorization.

4331221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4331221400 is about 65812.0156202498. The cubic root of 4331221400 is about 1630.0595158115.

Adding to 4331221400 its reverse (41221334), we get a palindrome (4372442734).

The spelling of 4331221400 in words is "four billion, three hundred thirty-one million, two hundred twenty-one thousand, four hundred".