4404122505300 has 144 divisors (see below), whose sum is σ = 14578818007040. Its totient is φ = 1005560749440.

The previous prime is 4404122505253. The next prime is 4404122505317. The reversal of 4404122505300 is 35052214044.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 788877 + ... + 3070923.

Almost surely, 2^{4404122505300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4404122505300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7289409003520).

4404122505300 is an abundant number, since it is smaller than the sum of its proper divisors (10174695501740).

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

4404122505300 is a wasteful number, since it uses less digits than its factorization.

4404122505300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282990 (or 2282983 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 4404122505300 its reverse (35052214044), we get a palindrome (4439174719344).

The spelling of 4404122505300 in words is "four trillion, four hundred four billion, one hundred twenty-two million, five hundred five thousand, three hundred".