401303041042345 has 32 divisors (see below), whose sum is σ = 559473929818272. Its totient is φ = 273652151365632.

The previous prime is 401303041042313. The next prime is 401303041042357. The reversal of 401303041042345 is 543240140303104.

It can be written as a sum of positive squares in 16 ways, for example, as 145165966698256 + 256137074344089 = 12048484^2 + 16004283^2 .

It is not a de Polignac number, because 401303041042345 - 2⁵ = 401303041042313 is a prime.

It is a super-2 number, since 2×401303041042345² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 401303041042345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3426075142 + ... + 3426192271.

It is an arithmetic number, because the mean of its divisors is an integer number (17483560306821).

Almost surely, 2^{401303041042345} is an apocalyptic number.

It is an amenable number.

401303041042345 is a deficient number, since it is larger than the sum of its proper divisors (158170888775927).

401303041042345 is a wasteful number, since it uses less digits than its factorization.

401303041042345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6852267501.

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 401303041042345 its reverse (543240140303104), we get a palindrome (944543181345449).

The spelling of 401303041042345 in words is "four hundred one trillion, three hundred three billion, forty-one million, forty-two thousand, three hundred forty-five".