4409000456644 has 81 divisors (see below), whose sum is σ = 9384108746061. Its totient is φ = 1807139167680.

The previous prime is 4409000456579. The next prime is 4409000456657. The reversal of 4409000456644 is 4466540009044.

The square root of 4409000456644 is 2099762.

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

It can be written as a sum of positive squares in only one way, i.e., 4087828898244 + 321171558400 = 2021838^2 + 566720^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 4409000456594 and 4409000456603.

It is an unprimeable number.

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, 676120104 + ... + 676126624.

Almost surely, 2^{4409000456644} is an apocalyptic number.

4409000456644 is the 2099762-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4409000456644

4409000456644 is an abundant number, since it is smaller than the sum of its proper divisors (4975108289417).

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

4409000456644 is an frugal number, since it uses more digits than its factorization.

4409000456644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13106 (or 6553 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 4409000456644 in words is "four trillion, four hundred nine billion, four hundred fifty-six thousand, six hundred forty-four".