403104401304 has 256 divisors, whose sum is σ = 1150798233600. Its totient is φ = 116557900800.

The previous prime is 403104401303. The next prime is 403104401317.

403104401304 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403104401303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410075197 + ... + 410076179.

It is an arithmetic number, because the mean of its divisors is an integer number (4495305600).

Almost surely, 2^403104401304 is an apocalyptic number.

403104401304 is a gapful number since it is divisible by the number (44) 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 403104401304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575399116800).

403104401304 is an abundant number, since it is smaller than the sum of its proper divisors (747693832296).

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

403104401304 is a wasteful number, since it uses less digits than its factorization.

403104401304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 403104 and 401304, that added together give a palindrome (804408).

The spelling of 403104401304 in words is "four hundred three billion, one hundred four million, four hundred one thousand, three hundred four".