403242202242304 has 72 divisors (see below), whose sum is σ = 814507679412000. Its totient is φ = 199224796416000.

The previous prime is 403242202242301. The next prime is 403242202242331.

403242202242304 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 403242202242304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403242202242301) 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 7 ways as a sum of consecutive naturals, for example, 2724802 + ... + 28529089.

It is an arithmetic number, because the mean of its divisors is an integer number (11312606658500).

Almost surely, 2^{403242202242304} is an apocalyptic number.

It is an amenable number.

403242202242304 is an abundant number, since it is smaller than the sum of its proper divisors (411265477169696).

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

403242202242304 is a wasteful number, since it uses less digits than its factorization.

403242202242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31254507 (or 31254493 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

It can be divided in two parts, 40324220 and 2242304, that added together give a palindrome (42566524).

The spelling of 403242202242304 in words is "four hundred three trillion, two hundred forty-two billion, two hundred two million, two hundred forty-two thousand, three hundred four".