4417129052973 has 144 divisors (see below), whose sum is σ = 8102389451520. Its totient is φ = 2298059382528.

The previous prime is 4417129052939. The next prime is 4417129053019. The reversal of 4417129052973 is 3792509217144.

4417129052973 is a `hidden beast` number, since 4 + 4 + 17 + 12 + 90 + 529 + 7 + 3 = 666.

It is not a de Polignac number, because 4417129052973 - 2¹⁰ = 4417129051949 is a prime.

It is a super-2 number, since 2×4417129052973² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4417129002973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 495022890 + ... + 495031812.

Almost surely, 2^{4417129052973} is an apocalyptic number.

It is an amenable number.

4417129052973 is a deficient number, since it is larger than the sum of its proper divisors (3685260398547).

4417129052973 is a wasteful number, since it uses less digits than its factorization.

4417129052973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10128 (or 10118 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 4417129052973 in words is "four trillion, four hundred seventeen billion, one hundred twenty-nine million, fifty-two thousand, nine hundred seventy-three".