405115413304340 has 12 divisors (see below), whose sum is σ = 850742367939156. Its totient is φ = 162046165321728.

The previous prime is 405115413304313. The next prime is 405115413304429. The reversal of 405115413304340 is 43403314511504.

It can be written as a sum of positive squares in 2 ways, for example, as 110738832655504 + 294376580648836 = 10523252^2 + 17157406^2 .

It is a junction number, because it is equal to n+sod(n) for n = 405115413304294 and 405115413304303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10127885332589 + ... + 10127885332628.

It is an arithmetic number, because the mean of its divisors is an integer number (70895197328263).

Almost surely, 2^{405115413304340} is an apocalyptic number.

It is an amenable number.

405115413304340 is an abundant number, since it is smaller than the sum of its proper divisors (445626954634816).

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

405115413304340 is a wasteful number, since it uses less digits than its factorization.

405115413304340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20255770665226 (or 20255770665224 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

Adding to 405115413304340 its reverse (43403314511504), we get a palindrome (448518727815844).

The spelling of 405115413304340 in words is "four hundred five trillion, one hundred fifteen billion, four hundred thirteen million, three hundred four thousand, three hundred forty".