44079002500 has 405 divisors, whose sum is σ = 117020921787. Its totient is φ = 14511744000.

The previous prime is 44079002489. The next prime is 44079002507. The reversal of 44079002500 is 520097044.

The square root of 44079002500 is 209950.

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

It can be written as a sum of positive squares in 22 ways, for example, as 38046062916 + 6032939584 = 195054^2 + 77672^2 .

It is a super-2 number, since 2×44079002500² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44079002507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2319947491 + ... + 2319947509.

Almost surely, 2^44079002500 is an apocalyptic number.

44079002500 is the 209950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44079002500

44079002500 is an abundant number, since it is smaller than the sum of its proper divisors (72941919287).

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

44079002500 is a wasteful number, since it uses less digits than its factorization.

44079002500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

Adding to 44079002500 its reverse (520097044), we get a palindrome (44599099544).

The spelling of 44079002500 in words is "forty-four billion, seventy-nine million, two thousand, five hundred".