403113311304 has 128 divisors (see below), whose sum is σ = 1112823982080. Its totient is φ = 120669536000.

The previous prime is 403113311299. The next prime is 403113311309.

403113311304 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (403113311299) and next prime (403113311309).

It is a super-2 number, since 2×403113311304² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (403113311309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11795089 + ... + 11829215.

It is an arithmetic number, because the mean of its divisors is an integer number (8693937360).

Almost surely, 2^403113311304 is an apocalyptic number.

403113311304 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 403113311304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556411991040).

403113311304 is an abundant number, since it is smaller than the sum of its proper divisors (709710670776).

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

403113311304 is a wasteful number, since it uses less digits than its factorization.

403113311304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34691 (or 34687 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 403113 and 311304, that added together give a palindrome (714417).

The spelling of 403113311304 in words is "four hundred three billion, one hundred thirteen million, three hundred eleven thousand, three hundred four".