44405766450 has 144 divisors (see below), whose sum is σ = 124842239496. Its totient is φ = 11303884800.

The previous prime is 44405766443. The next prime is 44405766499. The reversal of 44405766450 is 5466750444.

It can be written as a sum of positive squares in 12 ways, for example, as 18259846641 + 26145919809 = 135129^2 + 161697^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 44405766396 and 44405766405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 857290 + ... + 907610.

Almost surely, 2^44405766450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44405766450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62421119748).

44405766450 is an abundant number, since it is smaller than the sum of its proper divisors (80436473046).

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

44405766450 is a wasteful number, since it uses less digits than its factorization.

44405766450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50429 (or 50421 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 44405766450 in words is "forty-four billion, four hundred five million, seven hundred sixty-six thousand, four hundred fifty".