44407132900 has 81 divisors (see below), whose sum is σ = 104410662993. Its totient is φ = 16386364800.

The previous prime is 44407132859. The next prime is 44407132909. The reversal of 44407132900 is 923170444.

It is a happy number.

The square root of 44407132900 is 210730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 32813873316 + 11593259584 = 181146^2 + 107672^2 .

It is not an unprimeable number, because it can be changed into a prime (44407132909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27394090 + ... + 27395710.

Almost surely, 2^44407132900 is an apocalyptic number.

44407132900 is the 210730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44407132900

44407132900 is an abundant number, since it is smaller than the sum of its proper divisors (60003530093).

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

44407132900 is a wasteful number, since it uses less digits than its factorization.

44407132900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 44407132900 in words is "forty-four billion, four hundred seven million, one hundred thirty-two thousand, nine hundred".