405315442000311 has 16 divisors (see below), whose sum is σ = 546933865046016. Its totient is φ = 266953682814336.

The previous prime is 405315442000309. The next prime is 405315442000397. The reversal of 405315442000311 is 113000244513504.

It is not a de Polignac number, because 405315442000311 - 2¹ = 405315442000309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405315442000211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61834911 + ... + 68074863.

It is an arithmetic number, because the mean of its divisors is an integer number (34183366565376).

Almost surely, 2^{405315442000311} is an apocalyptic number.

405315442000311 is a deficient number, since it is larger than the sum of its proper divisors (141618423045705).

405315442000311 is a wasteful number, since it uses less digits than its factorization.

405315442000311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6500902.

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 405315442000311 its reverse (113000244513504), we get a palindrome (518315686513815).

The spelling of 405315442000311 in words is "four hundred five trillion, three hundred fifteen billion, four hundred forty-two million, three hundred eleven", and thus it is an aban number.