405120315311 has 16 divisors (see below), whose sum is σ = 431133789600. Its totient is φ = 380670873984.

The previous prime is 405120315293. The next prime is 405120315329. The reversal of 405120315311 is 113513021504.

It is an interprime number because it is at equal distance from previous prime (405120315293) and next prime (405120315329).

It is a de Polignac number, because none of the positive numbers 2^k-405120315311 is a prime.

It is a super-2 number, since 2×405120315311² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405120318311) 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, 2974541 + ... + 3107753.

It is an arithmetic number, because the mean of its divisors is an integer number (26945861850).

Almost surely, 2^405120315311 is an apocalyptic number.

405120315311 is a deficient number, since it is larger than the sum of its proper divisors (26013474289).

405120315311 is an equidigital number, since it uses as much as digits as its factorization.

405120315311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133883 (or 133849 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 405120315311 its reverse (113513021504), we get a palindrome (518633336815).

The spelling of 405120315311 in words is "four hundred five billion, one hundred twenty million, three hundred fifteen thousand, three hundred eleven".