44242915600 has 135 divisors (see below), whose sum is σ = 115241441133. Its totient is φ = 16315653120.

The previous prime is 44242915573. The next prime is 44242915603. The reversal of 44242915600 is 651924244.

The square root of 44242915600 is 210340.

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 26539016464 + 17703899136 = 162908^2 + 133056^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 44242915600.

It is not an unprimeable number, because it can be changed into a prime (44242915603) 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 26 ways as a sum of consecutive naturals, for example, 54687996 + ... + 54688804.

Almost surely, 2^44242915600 is an apocalyptic number.

44242915600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

44242915600 is the 210340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44242915600

44242915600 is an abundant number, since it is smaller than the sum of its proper divisors (70998525533).

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

44242915600 is an equidigital number, since it uses as much as digits as its factorization.

44242915600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 44242915600 in words is "forty-four billion, two hundred forty-two million, nine hundred fifteen thousand, six hundred".