320430004144404 has 192 divisors, whose sum is σ = 937593828218880. Its totient is φ = 82743457236480.

The previous prime is 320430004144361. The next prime is 320430004144433. The reversal of 320430004144404 is 404441400034023.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4708086927 + ... + 4708154985.

It is an arithmetic number, because the mean of its divisors is an integer number (4883301188640).

Almost surely, 2^{320430004144404} 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 320430004144404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468796914109440).

320430004144404 is an abundant number, since it is smaller than the sum of its proper divisors (617163824074476).

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

320430004144404 is a wasteful number, since it uses less digits than its factorization.

320430004144404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97710 (or 97708 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 320430004144404 its reverse (404441400034023), we get a palindrome (724871404178427).

The spelling of 320430004144404 in words is "three hundred twenty trillion, four hundred thirty billion, four million, one hundred forty-four thousand, four hundred four".