404301220410304 has 336 divisors, whose sum is σ = 953785847177856. Its totient is φ = 169512026880000.

The previous prime is 404301220410281. The next prime is 404301220410313. The reversal of 404301220410304 is 403014022103404.

It is a super-2 number, since 2×404301220410304² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11302467939 + ... + 11302503709.

It is an arithmetic number, because the mean of its divisors is an integer number (2838648354696).

Almost surely, 2^{404301220410304} 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 404301220410304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476892923588928).

404301220410304 is an abundant number, since it is smaller than the sum of its proper divisors (549484626767552).

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

404301220410304 is a wasteful number, since it uses less digits than its factorization.

404301220410304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36304 (or 36287 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 404301220410304 its reverse (403014022103404), we get a palindrome (807315242513708).

The spelling of 404301220410304 in words is "four hundred four trillion, three hundred one billion, two hundred twenty million, four hundred ten thousand, three hundred four".