404481320449360 has 480 divisors, whose sum is σ = 1183723017878016. Its totient is φ = 125819456716800.

The previous prime is 404481320449343. The next prime is 404481320449361. The reversal of 404481320449360 is 63944023184404.

It is a super-2 number, since 2×404481320449360² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404481320449298 and 404481320449307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404481320449361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86557095984 + ... + 86557100656.

Almost surely, 2^{404481320449360} is an apocalyptic number.

404481320449360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404481320449360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591861508939008).

404481320449360 is an abundant number, since it is smaller than the sum of its proper divisors (779241697428656).

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

404481320449360 is a wasteful number, since it uses less digits than its factorization.

404481320449360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7003 (or 6986 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 52.

The spelling of 404481320449360 in words is "four hundred four trillion, four hundred eighty-one billion, three hundred twenty million, four hundred forty-nine thousand, three hundred sixty".