4504073243904 has 576 divisors, whose sum is σ = 14468615884800. Its totient is φ = 1373883752448.

The previous prime is 4504073243881. The next prime is 4504073243921. The reversal of 4504073243904 is 4093423704054.

4504073243904 is a `hidden beast` number, since 450 + 4 + 0 + 73 + 2 + 43 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4504073243904² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4504073243904.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 8954419717 + ... + 8954420219.

It is an arithmetic number, because the mean of its divisors is an integer number (25119124800).

Almost surely, 2^{4504073243904} 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 4504073243904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7234307942400).

4504073243904 is an abundant number, since it is smaller than the sum of its proper divisors (9964542640896).

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

4504073243904 is a wasteful number, since it uses less digits than its factorization.

4504073243904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

Adding to 4504073243904 its reverse (4093423704054), we get a palindrome (8597496947958).

The spelling of 4504073243904 in words is "four trillion, five hundred four billion, seventy-three million, two hundred forty-three thousand, nine hundred four".