42215292405 has 192 divisors, whose sum is σ = 91009900800. Its totient is φ = 17796464640.

The previous prime is 42215292359. The next prime is 42215292407. The reversal of 42215292405 is 50429251224.

42215292405 is a `hidden beast` number, since 4 + 221 + 5 + 29 + 2 + 405 = 666.

It is not a de Polignac number, because 42215292405 - 2⁷ = 42215292277 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42215292405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42215292407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23596251 + ... + 23598039.

It is an arithmetic number, because the mean of its divisors is an integer number (474009900).

Almost surely, 2^42215292405 is an apocalyptic number.

42215292405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42215292405 is an abundant number, since it is smaller than the sum of its proper divisors (48794608395).

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

42215292405 is a wasteful number, since it uses less digits than its factorization.

42215292405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2033 counting only the distinct ones).

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

The spelling of 42215292405 in words is "forty-two billion, two hundred fifteen million, two hundred ninety-two thousand, four hundred five".