4322200400 has 120 divisors (see below), whose sum is σ = 11928700800. Its totient is φ = 1474260480.

The previous prime is 4322200391. The next prime is 4322200429. The reversal of 4322200400 is 40022234.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 553322 + ... + 561078.

It is an arithmetic number, because the mean of its divisors is an integer number (99405840).

Almost surely, 2^4322200400 is an apocalyptic number.

4322200400 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 4322200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5964350400).

4322200400 is an abundant number, since it is smaller than the sum of its proper divisors (7606500400).

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

4322200400 is a wasteful number, since it uses less digits than its factorization.

4322200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7981 (or 7970 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 4322200400 is about 65743.4437795892. The cubic root of 4322200400 is about 1628.9270417497.

Adding to 4322200400 its reverse (40022234), we get a palindrome (4362222634).

The spelling of 4322200400 in words is "four billion, three hundred twenty-two million, two hundred thousand, four hundred".