4405121350304 has 48 divisors (see below), whose sum is σ = 9430916638248. Its totient is φ = 2016971292672.

The previous prime is 4405121350303. The next prime is 4405121350339. The reversal of 4405121350304 is 4030531215044.

It can be written as a sum of positive squares in 4 ways, for example, as 4260310658704 + 144810691600 = 2064052^2 + 380540^2 .

It is a super-2 number, since 2×4405121350304² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4405121350303) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 109407569 + ... + 109447824.

Almost surely, 2^{4405121350304} is an apocalyptic number.

It is an amenable number.

4405121350304 is an abundant number, since it is smaller than the sum of its proper divisors (5025795287944).

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

4405121350304 is a wasteful number, since it uses less digits than its factorization.

4405121350304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218855457 (or 218855449 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 4405121350304 its reverse (4030531215044), we get a palindrome (8435652565348).

The spelling of 4405121350304 in words is "four trillion, four hundred five billion, one hundred twenty-one million, three hundred fifty thousand, three hundred four".