400505111345 has 16 divisors (see below), whose sum is σ = 481953946320. Its totient is φ = 319506432000.

The previous prime is 400505111333. The next prime is 400505111389. The reversal of 400505111345 is 543111505004.

It can be written as a sum of positive squares in 8 ways, for example, as 84080861089 + 316424250256 = 289967^2 + 562516^2 .

It is not a de Polignac number, because 400505111345 - 2⁴ = 400505111329 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 3636041 + ... + 3744569.

It is an arithmetic number, because the mean of its divisors is an integer number (30122121645).

Almost surely, 2^400505111345 is an apocalyptic number.

It is an amenable number.

400505111345 is a deficient number, since it is larger than the sum of its proper divisors (81448834975).

400505111345 is a wasteful number, since it uses less digits than its factorization.

400505111345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110596.

The product of its (nonzero) digits is 6000, while the sum is 29.

Adding to 400505111345 its reverse (543111505004), we get a palindrome (943616616349).

The spelling of 400505111345 in words is "four hundred billion, five hundred five million, one hundred eleven thousand, three hundred forty-five".