403201343102304 has 144 divisors (see below), whose sum is σ = 1093800233615040. Its totient is φ = 130046717548800.

The previous prime is 403201343102267. The next prime is 403201343102353.

It is a happy number.

403201343102304 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 665693359 + ... + 666298769.

It is an arithmetic number, because the mean of its divisors is an integer number (7595834955660).

Almost surely, 2^{403201343102304} 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 403201343102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546900116807520).

403201343102304 is an abundant number, since it is smaller than the sum of its proper divisors (690598890512736).

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

403201343102304 is a wasteful number, since it uses less digits than its factorization.

403201343102304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612705 (or 612666 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 403201343102304 in words is "four hundred three trillion, two hundred one billion, three hundred forty-three million, one hundred two thousand, three hundred four".