403467868764304 has 120 divisors (see below), whose sum is σ = 815925578760000. Its totient is φ = 193251068640000.

The previous prime is 403467868764293. The next prime is 403467868764383.

403467868764304 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×403467868764304² (a number of 30 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 7763301039 + ... + 7763353009.

It is an arithmetic number, because the mean of its divisors is an integer number (6799379823000).

Almost surely, 2^{403467868764304} 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 403467868764304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407962789380000).

403467868764304 is an abundant number, since it is smaller than the sum of its proper divisors (412457709995696).

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

403467868764304 is a wasteful number, since it uses less digits than its factorization.

403467868764304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57141 (or 57104 counting only the distinct ones).

The product of its (nonzero) digits is 1560674304, while the sum is 70.

The spelling of 403467868764304 in words is "four hundred three trillion, four hundred sixty-seven billion, eight hundred sixty-eight million, seven hundred sixty-four thousand, three hundred four".