44122230400 has 96 divisors (see below), whose sum is σ = 109102754700. Its totient is φ = 17631559680.

The previous prime is 44122230379. The next prime is 44122230431. The reversal of 44122230400 is 403222144.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 501401664 + 43620828736 = 22392^2 + 208856^2 .

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, 3542584 + ... + 3555016.

Almost surely, 2^44122230400 is an apocalyptic number.

44122230400 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 44122230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54551377350).

44122230400 is an abundant number, since it is smaller than the sum of its proper divisors (64980524300).

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

44122230400 is a wasteful number, since it uses less digits than its factorization.

44122230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13566 (or 13549 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 44122230400 its reverse (403222144), we get a palindrome (44525452544).

The spelling of 44122230400 in words is "forty-four billion, one hundred twenty-two million, two hundred thirty thousand, four hundred".