405115642305 has 48 divisors (see below), whose sum is σ = 766416665664. Its totient is φ = 196322317440.

The previous prime is 405115642273. The next prime is 405115642369. The reversal of 405115642305 is 503246511504.

405115642305 is a `hidden beast` number, since 4 + 0 + 5 + 1 + 1 + 5 + 642 + 3 + 0 + 5 = 666.

It is not a de Polignac number, because 405115642305 - 2⁵ = 405115642273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 405115642305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801487 + ... + 1205243.

It is an arithmetic number, because the mean of its divisors is an integer number (15967013868).

Almost surely, 2^405115642305 is an apocalyptic number.

405115642305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

405115642305 is a deficient number, since it is larger than the sum of its proper divisors (361301023359).

405115642305 is a wasteful number, since it uses less digits than its factorization.

405115642305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405806 (or 405803 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 405115642305 in words is "four hundred five billion, one hundred fifteen million, six hundred forty-two thousand, three hundred five".