41953965417 has 128 divisors (see below), whose sum is σ = 80729600000. Its totient is φ = 20911219200.

The previous prime is 41953965343. The next prime is 41953965439. The reversal of 41953965417 is 71456935914.

41953965417 is a `hidden beast` number, since 4 + 1 + 9 + 5 + 3 + 96 + 541 + 7 = 666.

41953965417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41953965417 - 2⁸ = 41953965161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41953960417) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23293917 + ... + 23295717.

It is an arithmetic number, because the mean of its divisors is an integer number (630700000).

Almost surely, 2^41953965417 is an apocalyptic number.

It is an amenable number.

41953965417 is a deficient number, since it is larger than the sum of its proper divisors (38775634583).

41953965417 is a wasteful number, since it uses less digits than its factorization.

41953965417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2342 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 41953965417 in words is "forty-one billion, nine hundred fifty-three million, nine hundred sixty-five thousand, four hundred seventeen".