417906137442 has 32 divisors (see below), whose sum is σ = 850388898240. Its totient is φ = 136891814400.

The previous prime is 417906137417. The next prime is 417906137477. The reversal of 417906137442 is 244731609714.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 417906137391 and 417906137400.

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 15 ways as a sum of consecutive naturals, for example, 2313559 + ... + 2487642.

It is an arithmetic number, because the mean of its divisors is an integer number (26574653070).

Almost surely, 2^417906137442 is an apocalyptic number.

417906137442 is an abundant number, since it is smaller than the sum of its proper divisors (432482760798).

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

417906137442 is a wasteful number, since it uses less digits than its factorization.

417906137442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4801458.

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 417906137442 in words is "four hundred seventeen billion, nine hundred six million, one hundred thirty-seven thousand, four hundred forty-two".