416134370610341 has 32 divisors (see below), whose sum is σ = 441391718707200. Its totient is φ = 391718893224960.

The previous prime is 416134370610317. The next prime is 416134370610353. The reversal of 416134370610341 is 143016073431614.

It is not a de Polignac number, because 416134370610341 - 2¹⁴ = 416134370593957 is a prime.

It is a super-3 number, since 3×416134370610341³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 416134370610292 and 416134370610301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416134370610041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584825261 + ... + 585536381.

It is an arithmetic number, because the mean of its divisors is an integer number (13793491209600).

Almost surely, 2^{416134370610341} is an apocalyptic number.

It is an amenable number.

416134370610341 is a deficient number, since it is larger than the sum of its proper divisors (25257348096859).

416134370610341 is a wasteful number, since it uses less digits than its factorization.

416134370610341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714029.

The product of its (nonzero) digits is 435456, while the sum is 44.

The spelling of 416134370610341 in words is "four hundred sixteen trillion, one hundred thirty-four billion, three hundred seventy million, six hundred ten thousand, three hundred forty-one".