42612516405 has 24 divisors (see below), whose sum is σ = 73873792512. Its totient is φ = 22722953184.

The previous prime is 42612516383. The next prime is 42612516413. The reversal of 42612516405 is 50461521624.

42612516405 is a `hidden beast` number, since 4 + 2 + 6 + 1 + 2 + 5 + 1 + 640 + 5 = 666.

It is not a de Polignac number, because 42612516405 - 2⁹ = 42612515893 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42612516405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212152 + ... + 360878.

It is an arithmetic number, because the mean of its divisors is an integer number (3078074688).

Almost surely, 2^42612516405 is an apocalyptic number.

42612516405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42612516405 is a deficient number, since it is larger than the sum of its proper divisors (31261276107).

42612516405 is a wasteful number, since it uses less digits than its factorization.

42612516405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155105 (or 155102 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 42612516405 in words is "forty-two billion, six hundred twelve million, five hundred sixteen thousand, four hundred five".